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Finding the Fourth Proportional to 634.08, 951.12 and 472.92

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Solution

The fourth proportional to 634.08, 951.12 and 472.92 is: 709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 951.12 = 472.92 : x
  2. Step 2: Convert to fraction form
    634.08/951.12 = 472.92/x
  3. Step 3: Cross multiply
    634.08x = 951.12 × 472.92
  4. Step 4: Simplify right side
    634.08x = 449,803.67
  5. Step 5: Solve for x
    x = 449,803.67/634.08
  6. Step 6: Final answer
    x = 709.38

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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.