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Finding the Fourth Proportional to 409.60, 565.22 and 232.56

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Solution

The fourth proportional to 409.60, 565.22 and 232.56 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 565.22 = 232.56 : x
  2. Step 2: Convert to fraction form
    409.60/565.22 = 232.56/x
  3. Step 3: Cross multiply
    409.60x = 565.22 × 232.56
  4. Step 4: Simplify right side
    409.60x = 131,448.14
  5. Step 5: Solve for x
    x = 131,448.14/409.60
  6. Step 6: Final answer
    x = 320.92

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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.