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Finding the Fourth Proportional to 532.96, 798.72 and 424.24

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Solution

The fourth proportional to 532.96, 798.72 and 424.24 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.96 : 798.72 = 424.24 : x
  2. Step 2: Convert to fraction form
    532.96/798.72 = 424.24/x
  3. Step 3: Cross multiply
    532.96x = 798.72 × 424.24
  4. Step 4: Simplify right side
    532.96x = 338,848.97
  5. Step 5: Solve for x
    x = 338,848.97/532.96
  6. Step 6: Final answer
    x = 635.79

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