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Finding the Fourth Proportional to 865.81, 1,299.23 and 318.05

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Solution

The fourth proportional to 865.81, 1,299.23 and 318.05 is: 477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.81 : 1,299.23 = 318.05 : x
  2. Step 2: Convert to fraction form
    865.81/1,299.23 = 318.05/x
  3. Step 3: Cross multiply
    865.81x = 1,299.23 × 318.05
  4. Step 4: Simplify right side
    865.81x = 413,212.02
  5. Step 5: Solve for x
    x = 413,212.02/865.81
  6. Step 6: Final answer
    x = 477.26

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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.