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Finding the Fourth Proportional to 417.53, 625.82 and 224.75

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Solution

The fourth proportional to 417.53, 625.82 and 224.75 is: 336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 625.82 = 224.75 : x
  2. Step 2: Convert to fraction form
    417.53/625.82 = 224.75/x
  3. Step 3: Cross multiply
    417.53x = 625.82 × 224.75
  4. Step 4: Simplify right side
    417.53x = 140,651.92
  5. Step 5: Solve for x
    x = 140,651.92/417.53
  6. Step 6: Final answer
    x = 336.87

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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.