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Finding the Fourth Proportional to 416.75, 575.07 and 230.24

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Solution

The fourth proportional to 416.75, 575.07 and 230.24 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 575.07 = 230.24 : x
  2. Step 2: Convert to fraction form
    416.75/575.07 = 230.24/x
  3. Step 3: Cross multiply
    416.75x = 575.07 × 230.24
  4. Step 4: Simplify right side
    416.75x = 132,406.63
  5. Step 5: Solve for x
    x = 132,406.63/416.75
  6. Step 6: Final answer
    x = 317.72

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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.