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Finding the Fourth Proportional to 409.97, 565.76 and 235.31

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Solution

The fourth proportional to 409.97, 565.76 and 235.31 is: 324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 565.76 = 235.31 : x
  2. Step 2: Convert to fraction form
    409.97/565.76 = 235.31/x
  3. Step 3: Cross multiply
    409.97x = 565.76 × 235.31
  4. Step 4: Simplify right side
    409.97x = 133,129.22
  5. Step 5: Solve for x
    x = 133,129.22/409.97
  6. Step 6: Final answer
    x = 324.73

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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.