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Finding the Fourth Proportional to 416.76, 575.12 and 230.24

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Solution

The fourth proportional to 416.76, 575.12 and 230.24 is: 317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 575.12 = 230.24 : x
  2. Step 2: Convert to fraction form
    416.76/575.12 = 230.24/x
  3. Step 3: Cross multiply
    416.76x = 575.12 × 230.24
  4. Step 4: Simplify right side
    416.76x = 132,415.63
  5. Step 5: Solve for x
    x = 132,415.63/416.76
  6. Step 6: Final answer
    x = 317.73

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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.