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Finding the Fourth Proportional to 532.17, 733.40 and 374.83

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Solution

The fourth proportional to 532.17, 733.40 and 374.83 is: 516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 733.40 = 374.83 : x
  2. Step 2: Convert to fraction form
    532.17/733.40 = 374.83/x
  3. Step 3: Cross multiply
    532.17x = 733.40 × 374.83
  4. Step 4: Simplify right side
    532.17x = 274,900.13
  5. Step 5: Solve for x
    x = 274,900.13/532.17
  6. Step 6: Final answer
    x = 516.56

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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.