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Finding the Fourth Proportional to 635.86, 878.22 and 425.68

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Solution

The fourth proportional to 635.86, 878.22 and 425.68 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.86 : 878.22 = 425.68 : x
  2. Step 2: Convert to fraction form
    635.86/878.22 = 425.68/x
  3. Step 3: Cross multiply
    635.86x = 878.22 × 425.68
  4. Step 4: Simplify right side
    635.86x = 373,840.69
  5. Step 5: Solve for x
    x = 373,840.69/635.86
  6. Step 6: Final answer
    x = 587.93

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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.