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Finding the Fourth Proportional to 576.25, 863.59 and 315.86

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Solution

The fourth proportional to 576.25, 863.59 and 315.86 is: 473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 863.59 = 315.86 : x
  2. Step 2: Convert to fraction form
    576.25/863.59 = 315.86/x
  3. Step 3: Cross multiply
    576.25x = 863.59 × 315.86
  4. Step 4: Simplify right side
    576.25x = 272,773.54
  5. Step 5: Solve for x
    x = 272,773.54/576.25
  6. Step 6: Final answer
    x = 473.36

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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.