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Finding the Fourth Proportional to 532.32, 797.27 and 478.86

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Solution

The fourth proportional to 532.32, 797.27 and 478.86 is: 717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 797.27 = 478.86 : x
  2. Step 2: Convert to fraction form
    532.32/797.27 = 478.86/x
  3. Step 3: Cross multiply
    532.32x = 797.27 × 478.86
  4. Step 4: Simplify right side
    532.32x = 381,778.32
  5. Step 5: Solve for x
    x = 381,778.32/532.32
  6. Step 6: Final answer
    x = 717.20

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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.