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Finding the Fourth Proportional to 632.31, 947.65 and 468.69

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Solution

The fourth proportional to 632.31, 947.65 and 468.69 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.31 : 947.65 = 468.69 : x
  2. Step 2: Convert to fraction form
    632.31/947.65 = 468.69/x
  3. Step 3: Cross multiply
    632.31x = 947.65 × 468.69
  4. Step 4: Simplify right side
    632.31x = 444,154.08
  5. Step 5: Solve for x
    x = 444,154.08/632.31
  6. Step 6: Final answer
    x = 702.43

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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.