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Finding the Fourth Proportional to 531.56, 732.84 and 365.48

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Solution

The fourth proportional to 531.56, 732.84 and 365.48 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 732.84 = 365.48 : x
  2. Step 2: Convert to fraction form
    531.56/732.84 = 365.48/x
  3. Step 3: Cross multiply
    531.56x = 732.84 × 365.48
  4. Step 4: Simplify right side
    531.56x = 267,834.70
  5. Step 5: Solve for x
    x = 267,834.70/531.56
  6. Step 6: Final answer
    x = 503.87

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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.