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Finding the Fourth Proportional to 317.86, 438.25 and 243.27

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Solution

The fourth proportional to 317.86, 438.25 and 243.27 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.86 : 438.25 = 243.27 : x
  2. Step 2: Convert to fraction form
    317.86/438.25 = 243.27/x
  3. Step 3: Cross multiply
    317.86x = 438.25 × 243.27
  4. Step 4: Simplify right side
    317.86x = 106,612.01
  5. Step 5: Solve for x
    x = 106,612.01/317.86
  6. Step 6: Final answer
    x = 335.41

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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.