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Finding the Fourth Proportional to 343.18, 472.99 and 232.61

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Solution

The fourth proportional to 343.18, 472.99 and 232.61 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.18 : 472.99 = 232.61 : x
  2. Step 2: Convert to fraction form
    343.18/472.99 = 232.61/x
  3. Step 3: Cross multiply
    343.18x = 472.99 × 232.61
  4. Step 4: Simplify right side
    343.18x = 110,021.04
  5. Step 5: Solve for x
    x = 110,021.04/343.18
  6. Step 6: Final answer
    x = 320.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.