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Finding the Fourth Proportional to 345.18, 517.86 and 301.44

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Solution

The fourth proportional to 345.18, 517.86 and 301.44 is: 452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.18 : 517.86 = 301.44 : x
  2. Step 2: Convert to fraction form
    345.18/517.86 = 301.44/x
  3. Step 3: Cross multiply
    345.18x = 517.86 × 301.44
  4. Step 4: Simplify right side
    345.18x = 156,103.72
  5. Step 5: Solve for x
    x = 156,103.72/345.18
  6. Step 6: Final answer
    x = 452.24

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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.