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Finding the Fourth Proportional to 532.35, 797.31 and 416.61

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Solution

The fourth proportional to 532.35, 797.31 and 416.61 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 797.31 = 416.61 : x
  2. Step 2: Convert to fraction form
    532.35/797.31 = 416.61/x
  3. Step 3: Cross multiply
    532.35x = 797.31 × 416.61
  4. Step 4: Simplify right side
    532.35x = 332,167.32
  5. Step 5: Solve for x
    x = 332,167.32/532.35
  6. Step 6: Final answer
    x = 623.96

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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.