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Finding the Fourth Proportional to 576.81, 865.41 and 186.87

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Solution

The fourth proportional to 576.81, 865.41 and 186.87 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.81 : 865.41 = 186.87 : x
  2. Step 2: Convert to fraction form
    576.81/865.41 = 186.87/x
  3. Step 3: Cross multiply
    576.81x = 865.41 × 186.87
  4. Step 4: Simplify right side
    576.81x = 161,719.17
  5. Step 5: Solve for x
    x = 161,719.17/576.81
  6. Step 6: Final answer
    x = 280.37

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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.