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Finding the Fourth Proportional to 409.53, 565.13 and 232.44

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Solution

The fourth proportional to 409.53, 565.13 and 232.44 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 565.13 = 232.44 : x
  2. Step 2: Convert to fraction form
    409.53/565.13 = 232.44/x
  3. Step 3: Cross multiply
    409.53x = 565.13 × 232.44
  4. Step 4: Simplify right side
    409.53x = 131,360.74
  5. Step 5: Solve for x
    x = 131,360.74/409.53
  6. Step 6: Final answer
    x = 320.76

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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.