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Finding the Fourth Proportional to 317.27, 438.24 and 244.49

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Solution

The fourth proportional to 317.27, 438.24 and 244.49 is: 337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.27 : 438.24 = 244.49 : x
  2. Step 2: Convert to fraction form
    317.27/438.24 = 244.49/x
  3. Step 3: Cross multiply
    317.27x = 438.24 × 244.49
  4. Step 4: Simplify right side
    317.27x = 107,143.11
  5. Step 5: Solve for x
    x = 107,143.11/317.27
  6. Step 6: Final answer
    x = 337.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.