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Finding the Fourth Proportional to 417.12, 625.20 and 224.40

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Solution

The fourth proportional to 417.12, 625.20 and 224.40 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.12 : 625.20 = 224.40 : x
  2. Step 2: Convert to fraction form
    417.12/625.20 = 224.40/x
  3. Step 3: Cross multiply
    417.12x = 625.20 × 224.40
  4. Step 4: Simplify right side
    417.12x = 140,294.88
  5. Step 5: Solve for x
    x = 140,294.88/417.12
  6. Step 6: Final answer
    x = 336.34

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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.