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Finding the Fourth Proportional to 576.38, 864.86 and 316.37

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Solution

The fourth proportional to 576.38, 864.86 and 316.37 is: 474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.38 : 864.86 = 316.37 : x
  2. Step 2: Convert to fraction form
    576.38/864.86 = 316.37/x
  3. Step 3: Cross multiply
    576.38x = 864.86 × 316.37
  4. Step 4: Simplify right side
    576.38x = 273,616.34
  5. Step 5: Solve for x
    x = 273,616.34/576.38
  6. Step 6: Final answer
    x = 474.71

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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.