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Finding the Fourth Proportional to 416.72, 575.02 and 230.18

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Solution

The fourth proportional to 416.72, 575.02 and 230.18 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 575.02 = 230.18 : x
  2. Step 2: Convert to fraction form
    416.72/575.02 = 230.18/x
  3. Step 3: Cross multiply
    416.72x = 575.02 × 230.18
  4. Step 4: Simplify right side
    416.72x = 132,358.97
  5. Step 5: Solve for x
    x = 132,358.97/416.72
  6. Step 6: Final answer
    x = 317.62

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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.