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Finding the Fourth Proportional to 322.85, 486.16 and 232.17

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Solution

The fourth proportional to 322.85, 486.16 and 232.17 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 486.16 = 232.17 : x
  2. Step 2: Convert to fraction form
    322.85/486.16 = 232.17/x
  3. Step 3: Cross multiply
    322.85x = 486.16 × 232.17
  4. Step 4: Simplify right side
    322.85x = 112,870.61
  5. Step 5: Solve for x
    x = 112,870.61/322.85
  6. Step 6: Final answer
    x = 349.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.