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Finding the Fourth Proportional to 866.38, 1,299.75 and 318.57

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Solution

The fourth proportional to 866.38, 1,299.75 and 318.57 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.38 : 1,299.75 = 318.57 : x
  2. Step 2: Convert to fraction form
    866.38/1,299.75 = 318.57/x
  3. Step 3: Cross multiply
    866.38x = 1,299.75 × 318.57
  4. Step 4: Simplify right side
    866.38x = 414,055.29
  5. Step 5: Solve for x
    x = 414,055.29/866.38
  6. Step 6: Final answer
    x = 477.91

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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.