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Finding the Fourth Proportional to 532.10, 733.54 and 374.24

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Solution

The fourth proportional to 532.10, 733.54 and 374.24 is: 515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 733.54 = 374.24 : x
  2. Step 2: Convert to fraction form
    532.10/733.54 = 374.24/x
  3. Step 3: Cross multiply
    532.10x = 733.54 × 374.24
  4. Step 4: Simplify right side
    532.10x = 274,520.01
  5. Step 5: Solve for x
    x = 274,520.01/532.10
  6. Step 6: Final answer
    x = 515.92

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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.