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Finding the Fourth Proportional to 634.92, 876.06 and 424.86

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Solution

The fourth proportional to 634.92, 876.06 and 424.86 is: 586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 876.06 = 424.86 : x
  2. Step 2: Convert to fraction form
    634.92/876.06 = 424.86/x
  3. Step 3: Cross multiply
    634.92x = 876.06 × 424.86
  4. Step 4: Simplify right side
    634.92x = 372,202.85
  5. Step 5: Solve for x
    x = 372,202.85/634.92
  6. Step 6: Final answer
    x = 586.22

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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.