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Finding the Fourth Proportional to 382.32, 574.52 and 209.12

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Solution

The fourth proportional to 382.32, 574.52 and 209.12 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 574.52 = 209.12 : x
  2. Step 2: Convert to fraction form
    382.32/574.52 = 209.12/x
  3. Step 3: Cross multiply
    382.32x = 574.52 × 209.12
  4. Step 4: Simplify right side
    382.32x = 120,139.70
  5. Step 5: Solve for x
    x = 120,139.70/382.32
  6. Step 6: Final answer
    x = 314.24

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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.