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Finding the Fourth Proportional to 634.50, 875.82 and 425.10

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Solution

The fourth proportional to 634.50, 875.82 and 425.10 is: 586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 875.82 = 425.10 : x
  2. Step 2: Convert to fraction form
    634.50/875.82 = 425.10/x
  3. Step 3: Cross multiply
    634.50x = 875.82 × 425.10
  4. Step 4: Simplify right side
    634.50x = 372,311.08
  5. Step 5: Solve for x
    x = 372,311.08/634.50
  6. Step 6: Final answer
    x = 586.78

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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.