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Finding the Fourth Proportional to 410.03, 565.71 and 232.97

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Solution

The fourth proportional to 410.03, 565.71 and 232.97 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.03 : 565.71 = 232.97 : x
  2. Step 2: Convert to fraction form
    410.03/565.71 = 232.97/x
  3. Step 3: Cross multiply
    410.03x = 565.71 × 232.97
  4. Step 4: Simplify right side
    410.03x = 131,790.63
  5. Step 5: Solve for x
    x = 131,790.63/410.03
  6. Step 6: Final answer
    x = 321.42

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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.