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Finding the Fourth Proportional to 635.89, 876.92 and 426.10

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Solution

The fourth proportional to 635.89, 876.92 and 426.10 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.89 : 876.92 = 426.10 : x
  2. Step 2: Convert to fraction form
    635.89/876.92 = 426.10/x
  3. Step 3: Cross multiply
    635.89x = 876.92 × 426.10
  4. Step 4: Simplify right side
    635.89x = 373,655.61
  5. Step 5: Solve for x
    x = 373,655.61/635.89
  6. Step 6: Final answer
    x = 587.61

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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.