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Finding the Fourth Proportional to 574.59, 861.46 and 282

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Solution

The fourth proportional to 574.59, 861.46 and 282 is: 422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 861.46 = 282 : x
  2. Step 2: Convert to fraction form
    574.59/861.46 = 282/x
  3. Step 3: Cross multiply
    574.59x = 861.46 × 282
  4. Step 4: Simplify right side
    574.59x = 242,931.72
  5. Step 5: Solve for x
    x = 242,931.72/574.59
  6. Step 6: Final answer
    x = 422.79

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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.