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Finding the Fourth Proportional to 625.78, 863.92 and 416.11

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Solution

The fourth proportional to 625.78, 863.92 and 416.11 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 863.92 = 416.11 : x
  2. Step 2: Convert to fraction form
    625.78/863.92 = 416.11/x
  3. Step 3: Cross multiply
    625.78x = 863.92 × 416.11
  4. Step 4: Simplify right side
    625.78x = 359,485.82
  5. Step 5: Solve for x
    x = 359,485.82/625.78
  6. Step 6: Final answer
    x = 574.46

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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.