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Finding the Fourth Proportional to 503.59, 694.56 and 385.27

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Solution

The fourth proportional to 503.59, 694.56 and 385.27 is: 531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.59 : 694.56 = 385.27 : x
  2. Step 2: Convert to fraction form
    503.59/694.56 = 385.27/x
  3. Step 3: Cross multiply
    503.59x = 694.56 × 385.27
  4. Step 4: Simplify right side
    503.59x = 267,593.13
  5. Step 5: Solve for x
    x = 267,593.13/503.59
  6. Step 6: Final answer
    x = 531.37

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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.