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Finding the Fourth Proportional to 634.57, 876.47 and 477.90

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Solution

The fourth proportional to 634.57, 876.47 and 477.90 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.57 : 876.47 = 477.90 : x
  2. Step 2: Convert to fraction form
    634.57/876.47 = 477.90/x
  3. Step 3: Cross multiply
    634.57x = 876.47 × 477.90
  4. Step 4: Simplify right side
    634.57x = 418,862.62
  5. Step 5: Solve for x
    x = 418,862.62/634.57
  6. Step 6: Final answer
    x = 660.08

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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.