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Finding the Fourth Proportional to 397.82, 597.14 and 224.64

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Solution

The fourth proportional to 397.82, 597.14 and 224.64 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 597.14 = 224.64 : x
  2. Step 2: Convert to fraction form
    397.82/597.14 = 224.64/x
  3. Step 3: Cross multiply
    397.82x = 597.14 × 224.64
  4. Step 4: Simplify right side
    397.82x = 134,139.11
  5. Step 5: Solve for x
    x = 134,139.11/397.82
  6. Step 6: Final answer
    x = 337.19

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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.