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Finding the Fourth Proportional to 531.27, 732.95 and 365.21

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Solution

The fourth proportional to 531.27, 732.95 and 365.21 is: 503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.27 : 732.95 = 365.21 : x
  2. Step 2: Convert to fraction form
    531.27/732.95 = 365.21/x
  3. Step 3: Cross multiply
    531.27x = 732.95 × 365.21
  4. Step 4: Simplify right side
    531.27x = 267,675.18
  5. Step 5: Solve for x
    x = 267,675.18/531.27
  6. Step 6: Final answer
    x = 503.84

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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.