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Finding the Fourth Proportional to 405.97, 560.25 and 231.35

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Solution

The fourth proportional to 405.97, 560.25 and 231.35 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.97 : 560.25 = 231.35 : x
  2. Step 2: Convert to fraction form
    405.97/560.25 = 231.35/x
  3. Step 3: Cross multiply
    405.97x = 560.25 × 231.35
  4. Step 4: Simplify right side
    405.97x = 129,611.04
  5. Step 5: Solve for x
    x = 129,611.04/405.97
  6. Step 6: Final answer
    x = 319.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.