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Finding the Fourth Proportional to 405.78, 559.97 and 231.12

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Solution

The fourth proportional to 405.78, 559.97 and 231.12 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 559.97 = 231.12 : x
  2. Step 2: Convert to fraction form
    405.78/559.97 = 231.12/x
  3. Step 3: Cross multiply
    405.78x = 559.97 × 231.12
  4. Step 4: Simplify right side
    405.78x = 129,421.28
  5. Step 5: Solve for x
    x = 129,421.28/405.78
  6. Step 6: Final answer
    x = 318.95

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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.