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Finding the Fourth Proportional to 409.63, 565.25 and 232.59

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Solution

The fourth proportional to 409.63, 565.25 and 232.59 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.25 = 232.59 : x
  2. Step 2: Convert to fraction form
    409.63/565.25 = 232.59/x
  3. Step 3: Cross multiply
    409.63x = 565.25 × 232.59
  4. Step 4: Simplify right side
    409.63x = 131,470.33
  5. Step 5: Solve for x
    x = 131,470.33/409.63
  6. Step 6: Final answer
    x = 320.95

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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.