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Finding the Fourth Proportional to 634.86, 876.19 and 414.80

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Solution

The fourth proportional to 634.86, 876.19 and 414.80 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.86 : 876.19 = 414.80 : x
  2. Step 2: Convert to fraction form
    634.86/876.19 = 414.80/x
  3. Step 3: Cross multiply
    634.86x = 876.19 × 414.80
  4. Step 4: Simplify right side
    634.86x = 363,443.61
  5. Step 5: Solve for x
    x = 363,443.61/634.86
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.