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Finding the Fourth Proportional to 625.05, 862.25 and 425.79

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Solution

The fourth proportional to 625.05, 862.25 and 425.79 is: 587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.05 : 862.25 = 425.79 : x
  2. Step 2: Convert to fraction form
    625.05/862.25 = 425.79/x
  3. Step 3: Cross multiply
    625.05x = 862.25 × 425.79
  4. Step 4: Simplify right side
    625.05x = 367,135.30
  5. Step 5: Solve for x
    x = 367,135.30/625.05
  6. Step 6: Final answer
    x = 587.37

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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.