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Finding the Fourth Proportional to 405.98, 560.24 and 231.32

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Solution

The fourth proportional to 405.98, 560.24 and 231.32 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 560.24 = 231.32 : x
  2. Step 2: Convert to fraction form
    405.98/560.24 = 231.32/x
  3. Step 3: Cross multiply
    405.98x = 560.24 × 231.32
  4. Step 4: Simplify right side
    405.98x = 129,591.92
  5. Step 5: Solve for x
    x = 129,591.92/405.98
  6. Step 6: Final answer
    x = 319.21

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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.