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Finding the Fourth Proportional to 318.27, 476.78 and 244.23

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Solution

The fourth proportional to 318.27, 476.78 and 244.23 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.27 : 476.78 = 244.23 : x
  2. Step 2: Convert to fraction form
    318.27/476.78 = 244.23/x
  3. Step 3: Cross multiply
    318.27x = 476.78 × 244.23
  4. Step 4: Simplify right side
    318.27x = 116,442.76
  5. Step 5: Solve for x
    x = 116,442.76/318.27
  6. Step 6: Final answer
    x = 365.86

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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.