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Finding the Fourth Proportional to 416.67, 574.98 and 230.16

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Solution

The fourth proportional to 416.67, 574.98 and 230.16 is: 317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 574.98 = 230.16 : x
  2. Step 2: Convert to fraction form
    416.67/574.98 = 230.16/x
  3. Step 3: Cross multiply
    416.67x = 574.98 × 230.16
  4. Step 4: Simplify right side
    416.67x = 132,337.40
  5. Step 5: Solve for x
    x = 132,337.40/416.67
  6. Step 6: Final answer
    x = 317.61

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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.