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Finding the Fourth Proportional to 416.96, 575.38 and 230.44

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Solution

The fourth proportional to 416.96, 575.38 and 230.44 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.38 = 230.44 : x
  2. Step 2: Convert to fraction form
    416.96/575.38 = 230.44/x
  3. Step 3: Cross multiply
    416.96x = 575.38 × 230.44
  4. Step 4: Simplify right side
    416.96x = 132,587.69
  5. Step 5: Solve for x
    x = 132,587.69/416.96
  6. Step 6: Final answer
    x = 317.99

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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.