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Finding the Fourth Proportional to 409.88, 565.61 and 232.80

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Solution

The fourth proportional to 409.88, 565.61 and 232.80 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 565.61 = 232.80 : x
  2. Step 2: Convert to fraction form
    409.88/565.61 = 232.80/x
  3. Step 3: Cross multiply
    409.88x = 565.61 × 232.80
  4. Step 4: Simplify right side
    409.88x = 131,672.84
  5. Step 5: Solve for x
    x = 131,672.84/409.88
  6. Step 6: Final answer
    x = 321.25

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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.