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Finding the Fourth Proportional to 343.19, 473.76 and 232.94

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Solution

The fourth proportional to 343.19, 473.76 and 232.94 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.19 : 473.76 = 232.94 : x
  2. Step 2: Convert to fraction form
    343.19/473.76 = 232.94/x
  3. Step 3: Cross multiply
    343.19x = 473.76 × 232.94
  4. Step 4: Simplify right side
    343.19x = 110,355.29
  5. Step 5: Solve for x
    x = 110,355.29/343.19
  6. Step 6: Final answer
    x = 321.56

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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.