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Finding the Fourth Proportional to 634.92, 951.13 and 417.84

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Solution

The fourth proportional to 634.92, 951.13 and 417.84 is: 625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 951.13 = 417.84 : x
  2. Step 2: Convert to fraction form
    634.92/951.13 = 417.84/x
  3. Step 3: Cross multiply
    634.92x = 951.13 × 417.84
  4. Step 4: Simplify right side
    634.92x = 397,420.16
  5. Step 5: Solve for x
    x = 397,420.16/634.92
  6. Step 6: Final answer
    x = 625.94

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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.