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Finding the Fourth Proportional to 576.96, 865.61 and 247.74

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Solution

The fourth proportional to 576.96, 865.61 and 247.74 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 865.61 = 247.74 : x
  2. Step 2: Convert to fraction form
    576.96/865.61 = 247.74/x
  3. Step 3: Cross multiply
    576.96x = 865.61 × 247.74
  4. Step 4: Simplify right side
    576.96x = 214,444.98
  5. Step 5: Solve for x
    x = 214,444.98/576.96
  6. Step 6: Final answer
    x = 371.68

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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.