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Finding the Fourth Proportional to 382.65, 574.35 and 200.19

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Solution

The fourth proportional to 382.65, 574.35 and 200.19 is: 300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 574.35 = 200.19 : x
  2. Step 2: Convert to fraction form
    382.65/574.35 = 200.19/x
  3. Step 3: Cross multiply
    382.65x = 574.35 × 200.19
  4. Step 4: Simplify right side
    382.65x = 114,979.13
  5. Step 5: Solve for x
    x = 114,979.13/382.65
  6. Step 6: Final answer
    x = 300.48

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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.