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Finding the Fourth Proportional to 505.19, 697.11 and 284.13

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Solution

The fourth proportional to 505.19, 697.11 and 284.13 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 697.11 = 284.13 : x
  2. Step 2: Convert to fraction form
    505.19/697.11 = 284.13/x
  3. Step 3: Cross multiply
    505.19x = 697.11 × 284.13
  4. Step 4: Simplify right side
    505.19x = 198,068.80
  5. Step 5: Solve for x
    x = 198,068.80/505.19
  6. Step 6: Final answer
    x = 392.07

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Double scale
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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.