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Finding the Fourth Proportional to 382.18, 572.46 and 219.46

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Solution

The fourth proportional to 382.18, 572.46 and 219.46 is: 328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 572.46 = 219.46 : x
  2. Step 2: Convert to fraction form
    382.18/572.46 = 219.46/x
  3. Step 3: Cross multiply
    382.18x = 572.46 × 219.46
  4. Step 4: Simplify right side
    382.18x = 125,632.07
  5. Step 5: Solve for x
    x = 125,632.07/382.18
  6. Step 6: Final answer
    x = 328.72

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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.