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Finding the Fourth Proportional to 505.38, 697.42 and 284.32

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Solution

The fourth proportional to 505.38, 697.42 and 284.32 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 697.42 = 284.32 : x
  2. Step 2: Convert to fraction form
    505.38/697.42 = 284.32/x
  3. Step 3: Cross multiply
    505.38x = 697.42 × 284.32
  4. Step 4: Simplify right side
    505.38x = 198,290.45
  5. Step 5: Solve for x
    x = 198,290.45/505.38
  6. Step 6: Final answer
    x = 392.36

Related Problems

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Double scale
Find fourth proportional to 506.38, 698.80 and 285.32
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.