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Finding the Fourth Proportional to 634.97, 876.73 and 414.04

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Solution

The fourth proportional to 634.97, 876.73 and 414.04 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.97 : 876.73 = 414.04 : x
  2. Step 2: Convert to fraction form
    634.97/876.73 = 414.04/x
  3. Step 3: Cross multiply
    634.97x = 876.73 × 414.04
  4. Step 4: Simplify right side
    634.97x = 363,001.29
  5. Step 5: Solve for x
    x = 363,001.29/634.97
  6. Step 6: Final answer
    x = 571.68

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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.