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Finding the Fourth Proportional to 405.89, 560.14 and 231.24

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Solution

The fourth proportional to 405.89, 560.14 and 231.24 is: 319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.89 : 560.14 = 231.24 : x
  2. Step 2: Convert to fraction form
    405.89/560.14 = 231.24/x
  3. Step 3: Cross multiply
    405.89x = 560.14 × 231.24
  4. Step 4: Simplify right side
    405.89x = 129,522.82
  5. Step 5: Solve for x
    x = 129,522.82/405.89
  6. Step 6: Final answer
    x = 319.11

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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.