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Finding the Fourth Proportional to 625.26, 863.21 and 415.72

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Solution

The fourth proportional to 625.26, 863.21 and 415.72 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.26 : 863.21 = 415.72 : x
  2. Step 2: Convert to fraction form
    625.26/863.21 = 415.72/x
  3. Step 3: Cross multiply
    625.26x = 863.21 × 415.72
  4. Step 4: Simplify right side
    625.26x = 358,851.58
  5. Step 5: Solve for x
    x = 358,851.58/625.26
  6. Step 6: Final answer
    x = 573.92

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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.