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Finding the Fourth Proportional to 409.63, 565.28 and 234.97

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Solution

The fourth proportional to 409.63, 565.28 and 234.97 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.28 = 234.97 : x
  2. Step 2: Convert to fraction form
    409.63/565.28 = 234.97/x
  3. Step 3: Cross multiply
    409.63x = 565.28 × 234.97
  4. Step 4: Simplify right side
    409.63x = 132,823.84
  5. Step 5: Solve for x
    x = 132,823.84/409.63
  6. Step 6: Final answer
    x = 324.25

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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.