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Finding the Fourth Proportional to 505.19, 697.14 and 284.10

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Solution

The fourth proportional to 505.19, 697.14 and 284.10 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 697.14 = 284.10 : x
  2. Step 2: Convert to fraction form
    505.19/697.14 = 284.10/x
  3. Step 3: Cross multiply
    505.19x = 697.14 × 284.10
  4. Step 4: Simplify right side
    505.19x = 198,057.47
  5. Step 5: Solve for x
    x = 198,057.47/505.19
  6. Step 6: Final answer
    x = 392.05

Related Problems

Find fourth proportional to 252.60, 348.57 and 142.05
Half scale
Find fourth proportional to 1,010.38, 1,394.28 and 568.20
Double scale
Find fourth proportional to 506.19, 698.52 and 285.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.