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Finding the Fourth Proportional to 405.93, 560.23 and 231.31

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Solution

The fourth proportional to 405.93, 560.23 and 231.31 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 560.23 = 231.31 : x
  2. Step 2: Convert to fraction form
    405.93/560.23 = 231.31/x
  3. Step 3: Cross multiply
    405.93x = 560.23 × 231.31
  4. Step 4: Simplify right side
    405.93x = 129,586.80
  5. Step 5: Solve for x
    x = 129,586.80/405.93
  6. Step 6: Final answer
    x = 319.23

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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.