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Finding the Fourth Proportional to 417.33, 575.89 and 230.81

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Solution

The fourth proportional to 417.33, 575.89 and 230.81 is: 318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 575.89 = 230.81 : x
  2. Step 2: Convert to fraction form
    417.33/575.89 = 230.81/x
  3. Step 3: Cross multiply
    417.33x = 575.89 × 230.81
  4. Step 4: Simplify right side
    417.33x = 132,920.02
  5. Step 5: Solve for x
    x = 132,920.02/417.33
  6. Step 6: Final answer
    x = 318.50

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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.