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Finding the Fourth Proportional to 416.65, 574.97 and 230.14

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Solution

The fourth proportional to 416.65, 574.97 and 230.14 is: 317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.65 : 574.97 = 230.14 : x
  2. Step 2: Convert to fraction form
    416.65/574.97 = 230.14/x
  3. Step 3: Cross multiply
    416.65x = 574.97 × 230.14
  4. Step 4: Simplify right side
    416.65x = 132,323.60
  5. Step 5: Solve for x
    x = 132,323.60/416.65
  6. Step 6: Final answer
    x = 317.59

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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.