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Finding the Fourth Proportional to 405.38, 559.42 and 230.82

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Solution

The fourth proportional to 405.38, 559.42 and 230.82 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.38 : 559.42 = 230.82 : x
  2. Step 2: Convert to fraction form
    405.38/559.42 = 230.82/x
  3. Step 3: Cross multiply
    405.38x = 559.42 × 230.82
  4. Step 4: Simplify right side
    405.38x = 129,124.75
  5. Step 5: Solve for x
    x = 129,124.75/405.38
  6. Step 6: Final answer
    x = 318.53

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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.