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Finding the Fourth Proportional to 382.04, 572.70 and 199.55

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Solution

The fourth proportional to 382.04, 572.70 and 199.55 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 572.70 = 199.55 : x
  2. Step 2: Convert to fraction form
    382.04/572.70 = 199.55/x
  3. Step 3: Cross multiply
    382.04x = 572.70 × 199.55
  4. Step 4: Simplify right side
    382.04x = 114,279.42
  5. Step 5: Solve for x
    x = 114,279.42/382.04
  6. Step 6: Final answer
    x = 299.13

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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.