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Finding the Fourth Proportional to 576.82, 865.34 and 186.93

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Solution

The fourth proportional to 576.82, 865.34 and 186.93 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 865.34 = 186.93 : x
  2. Step 2: Convert to fraction form
    576.82/865.34 = 186.93/x
  3. Step 3: Cross multiply
    576.82x = 865.34 × 186.93
  4. Step 4: Simplify right side
    576.82x = 161,753.68
  5. Step 5: Solve for x
    x = 161,753.68/576.82
  6. Step 6: Final answer
    x = 280.42

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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.