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Finding the Fourth Proportional to 417.11, 625.46 and 293.85

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Solution

The fourth proportional to 417.11, 625.46 and 293.85 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.11 : 625.46 = 293.85 : x
  2. Step 2: Convert to fraction form
    417.11/625.46 = 293.85/x
  3. Step 3: Cross multiply
    417.11x = 625.46 × 293.85
  4. Step 4: Simplify right side
    417.11x = 183,789.95
  5. Step 5: Solve for x
    x = 183,789.95/417.11
  6. Step 6: Final answer
    x = 440.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.