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Finding the Fourth Proportional to 625.09, 862.41 and 415.66

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Solution

The fourth proportional to 625.09, 862.41 and 415.66 is: 573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.09 : 862.41 = 415.66 : x
  2. Step 2: Convert to fraction form
    625.09/862.41 = 415.66/x
  3. Step 3: Cross multiply
    625.09x = 862.41 × 415.66
  4. Step 4: Simplify right side
    625.09x = 358,469.34
  5. Step 5: Solve for x
    x = 358,469.34/625.09
  6. Step 6: Final answer
    x = 573.47

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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.