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Finding the Fourth Proportional to 531.38, 732.29 and 365.46

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Solution

The fourth proportional to 531.38, 732.29 and 365.46 is: 503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.38 : 732.29 = 365.46 : x
  2. Step 2: Convert to fraction form
    531.38/732.29 = 365.46/x
  3. Step 3: Cross multiply
    531.38x = 732.29 × 365.46
  4. Step 4: Simplify right side
    531.38x = 267,620.88
  5. Step 5: Solve for x
    x = 267,620.88/531.38
  6. Step 6: Final answer
    x = 503.64

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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.