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Finding the Fourth Proportional to 531.95, 733.52 and 363.92

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Solution

The fourth proportional to 531.95, 733.52 and 363.92 is: 501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.95 : 733.52 = 363.92 : x
  2. Step 2: Convert to fraction form
    531.95/733.52 = 363.92/x
  3. Step 3: Cross multiply
    531.95x = 733.52 × 363.92
  4. Step 4: Simplify right side
    531.95x = 266,937.11
  5. Step 5: Solve for x
    x = 266,937.11/531.95
  6. Step 6: Final answer
    x = 501.81

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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.