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Finding the Fourth Proportional to 576.72, 865.08 and 458.87

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Solution

The fourth proportional to 576.72, 865.08 and 458.87 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 865.08 = 458.87 : x
  2. Step 2: Convert to fraction form
    576.72/865.08 = 458.87/x
  3. Step 3: Cross multiply
    576.72x = 865.08 × 458.87
  4. Step 4: Simplify right side
    576.72x = 396,954.93
  5. Step 5: Solve for x
    x = 396,954.93/576.72
  6. Step 6: Final answer
    x = 688.30

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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.