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Finding the Fourth Proportional to 345.70, 517.20 and 224.20

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Solution

The fourth proportional to 345.70, 517.20 and 224.20 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.70 : 517.20 = 224.20 : x
  2. Step 2: Convert to fraction form
    345.70/517.20 = 224.20/x
  3. Step 3: Cross multiply
    345.70x = 517.20 × 224.20
  4. Step 4: Simplify right side
    345.70x = 115,956.24
  5. Step 5: Solve for x
    x = 115,956.24/345.70
  6. Step 6: Final answer
    x = 335.42

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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.