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Finding the Fourth Proportional to 632.72, 951.25 and 497.40

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Solution

The fourth proportional to 632.72, 951.25 and 497.40 is: 747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 951.25 = 497.40 : x
  2. Step 2: Convert to fraction form
    632.72/951.25 = 497.40/x
  3. Step 3: Cross multiply
    632.72x = 951.25 × 497.40
  4. Step 4: Simplify right side
    632.72x = 473,151.75
  5. Step 5: Solve for x
    x = 473,151.75/632.72
  6. Step 6: Final answer
    x = 747.81

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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.