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Finding the Fourth Proportional to 373.97, 560.18 and 219.42

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Solution

The fourth proportional to 373.97, 560.18 and 219.42 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.97 : 560.18 = 219.42 : x
  2. Step 2: Convert to fraction form
    373.97/560.18 = 219.42/x
  3. Step 3: Cross multiply
    373.97x = 560.18 × 219.42
  4. Step 4: Simplify right side
    373.97x = 122,914.70
  5. Step 5: Solve for x
    x = 122,914.70/373.97
  6. Step 6: Final answer
    x = 328.68

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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.