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Finding the Fourth Proportional to 417.29, 575.84 and 230.78

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Solution

The fourth proportional to 417.29, 575.84 and 230.78 is: 318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 575.84 = 230.78 : x
  2. Step 2: Convert to fraction form
    417.29/575.84 = 230.78/x
  3. Step 3: Cross multiply
    417.29x = 575.84 × 230.78
  4. Step 4: Simplify right side
    417.29x = 132,890.05
  5. Step 5: Solve for x
    x = 132,890.05/417.29
  6. Step 6: Final answer
    x = 318.46

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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.