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Finding the Fourth Proportional to 632.88, 947.44 and 458.92

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Solution

The fourth proportional to 632.88, 947.44 and 458.92 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.88 : 947.44 = 458.92 : x
  2. Step 2: Convert to fraction form
    632.88/947.44 = 458.92/x
  3. Step 3: Cross multiply
    632.88x = 947.44 × 458.92
  4. Step 4: Simplify right side
    632.88x = 434,799.16
  5. Step 5: Solve for x
    x = 434,799.16/632.88
  6. Step 6: Final answer
    x = 687.02

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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.