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Finding the Fourth Proportional to 574.88, 862.20 and 382.64

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Solution

The fourth proportional to 574.88, 862.20 and 382.64 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.88 : 862.20 = 382.64 : x
  2. Step 2: Convert to fraction form
    574.88/862.20 = 382.64/x
  3. Step 3: Cross multiply
    574.88x = 862.20 × 382.64
  4. Step 4: Simplify right side
    574.88x = 329,912.21
  5. Step 5: Solve for x
    x = 329,912.21/574.88
  6. Step 6: Final answer
    x = 573.88

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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.