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Finding the Fourth Proportional to 532.92, 735.18 and 416.28

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Solution

The fourth proportional to 532.92, 735.18 and 416.28 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.92 : 735.18 = 416.28 : x
  2. Step 2: Convert to fraction form
    532.92/735.18 = 416.28/x
  3. Step 3: Cross multiply
    532.92x = 735.18 × 416.28
  4. Step 4: Simplify right side
    532.92x = 306,040.73
  5. Step 5: Solve for x
    x = 306,040.73/532.92
  6. Step 6: Final answer
    x = 574.27

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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.