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Finding the Fourth Proportional to 576.91, 865.36 and 186.94

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Solution

The fourth proportional to 576.91, 865.36 and 186.94 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.91 : 865.36 = 186.94 : x
  2. Step 2: Convert to fraction form
    576.91/865.36 = 186.94/x
  3. Step 3: Cross multiply
    576.91x = 865.36 × 186.94
  4. Step 4: Simplify right side
    576.91x = 161,767.77
  5. Step 5: Solve for x
    x = 161,767.77/576.91
  6. Step 6: Final answer
    x = 280.41

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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.