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Finding the Fourth Proportional to 576.18, 862.56 and 301.68

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Solution

The fourth proportional to 576.18, 862.56 and 301.68 is: 451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.18 : 862.56 = 301.68 : x
  2. Step 2: Convert to fraction form
    576.18/862.56 = 301.68/x
  3. Step 3: Cross multiply
    576.18x = 862.56 × 301.68
  4. Step 4: Simplify right side
    576.18x = 260,217.10
  5. Step 5: Solve for x
    x = 260,217.10/576.18
  6. Step 6: Final answer
    x = 451.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.