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Finding the Fourth Proportional to 625.10, 862.74 and 415.28

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Solution

The fourth proportional to 625.10, 862.74 and 415.28 is: 573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.10 : 862.74 = 415.28 : x
  2. Step 2: Convert to fraction form
    625.10/862.74 = 415.28/x
  3. Step 3: Cross multiply
    625.10x = 862.74 × 415.28
  4. Step 4: Simplify right side
    625.10x = 358,278.67
  5. Step 5: Solve for x
    x = 358,278.67/625.10
  6. Step 6: Final answer
    x = 573.15

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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.