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Finding the Fourth Proportional to 409.15, 564.71 and 232.13

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Solution

The fourth proportional to 409.15, 564.71 and 232.13 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.15 : 564.71 = 232.13 : x
  2. Step 2: Convert to fraction form
    409.15/564.71 = 232.13/x
  3. Step 3: Cross multiply
    409.15x = 564.71 × 232.13
  4. Step 4: Simplify right side
    409.15x = 131,086.38
  5. Step 5: Solve for x
    x = 131,086.38/409.15
  6. Step 6: Final answer
    x = 320.39

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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.