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Finding the Fourth Proportional to 625, 862.36 and 459.24

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Solution

The fourth proportional to 625, 862.36 and 459.24 is: 633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 862.36 = 459.24 : x
  2. Step 2: Convert to fraction form
    625/862.36 = 459.24/x
  3. Step 3: Cross multiply
    625x = 862.36 × 459.24
  4. Step 4: Simplify right side
    625x = 396,030.21
  5. Step 5: Solve for x
    x = 396,030.21/625
  6. Step 6: Final answer
    x = 633.65

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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.