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Finding the Fourth Proportional to 373.72, 559.81 and 219.17

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Solution

The fourth proportional to 373.72, 559.81 and 219.17 is: 328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.72 : 559.81 = 219.17 : x
  2. Step 2: Convert to fraction form
    373.72/559.81 = 219.17/x
  3. Step 3: Cross multiply
    373.72x = 559.81 × 219.17
  4. Step 4: Simplify right side
    373.72x = 122,694.41
  5. Step 5: Solve for x
    x = 122,694.41/373.72
  6. Step 6: Final answer
    x = 328.31

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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.