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Finding the Fourth Proportional to 532.74, 797.48 and 492.24

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Solution

The fourth proportional to 532.74, 797.48 and 492.24 is: 736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 797.48 = 492.24 : x
  2. Step 2: Convert to fraction form
    532.74/797.48 = 492.24/x
  3. Step 3: Cross multiply
    532.74x = 797.48 × 492.24
  4. Step 4: Simplify right side
    532.74x = 392,551.56
  5. Step 5: Solve for x
    x = 392,551.56/532.74
  6. Step 6: Final answer
    x = 736.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.