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Finding the Fourth Proportional to 317.92, 477.12 and 225.36

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Solution

The fourth proportional to 317.92, 477.12 and 225.36 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 477.12 = 225.36 : x
  2. Step 2: Convert to fraction form
    317.92/477.12 = 225.36/x
  3. Step 3: Cross multiply
    317.92x = 477.12 × 225.36
  4. Step 4: Simplify right side
    317.92x = 107,523.76
  5. Step 5: Solve for x
    x = 107,523.76/317.92
  6. Step 6: Final answer
    x = 338.21

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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.