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Finding the Fourth Proportional to 416.75, 575.10 and 230.23

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Solution

The fourth proportional to 416.75, 575.10 and 230.23 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 575.10 = 230.23 : x
  2. Step 2: Convert to fraction form
    416.75/575.10 = 230.23/x
  3. Step 3: Cross multiply
    416.75x = 575.10 × 230.23
  4. Step 4: Simplify right side
    416.75x = 132,405.27
  5. Step 5: Solve for x
    x = 132,405.27/416.75
  6. Step 6: Final answer
    x = 317.71

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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.