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Finding the Fourth Proportional to 417.30, 625.59 and 224.70

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Solution

The fourth proportional to 417.30, 625.59 and 224.70 is: 336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.30 : 625.59 = 224.70 : x
  2. Step 2: Convert to fraction form
    417.30/625.59 = 224.70/x
  3. Step 3: Cross multiply
    417.30x = 625.59 × 224.70
  4. Step 4: Simplify right side
    417.30x = 140,570.07
  5. Step 5: Solve for x
    x = 140,570.07/417.30
  6. Step 6: Final answer
    x = 336.86

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