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Finding the Fourth Proportional to 405.86, 560.04 and 231.14

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Solution

The fourth proportional to 405.86, 560.04 and 231.14 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 560.04 = 231.14 : x
  2. Step 2: Convert to fraction form
    405.86/560.04 = 231.14/x
  3. Step 3: Cross multiply
    405.86x = 560.04 × 231.14
  4. Step 4: Simplify right side
    405.86x = 129,447.65
  5. Step 5: Solve for x
    x = 129,447.65/405.86
  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.