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Finding the Fourth Proportional to 397.68, 597.09 and 224.68

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Solution

The fourth proportional to 397.68, 597.09 and 224.68 is: 337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 597.09 = 224.68 : x
  2. Step 2: Convert to fraction form
    397.68/597.09 = 224.68/x
  3. Step 3: Cross multiply
    397.68x = 597.09 × 224.68
  4. Step 4: Simplify right side
    397.68x = 134,154.18
  5. Step 5: Solve for x
    x = 134,154.18/397.68
  6. Step 6: Final answer
    x = 337.34

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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.