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Finding the Fourth Proportional to 343.05, 473.13 and 232.34

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Solution

The fourth proportional to 343.05, 473.13 and 232.34 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 473.13 = 232.34 : x
  2. Step 2: Convert to fraction form
    343.05/473.13 = 232.34/x
  3. Step 3: Cross multiply
    343.05x = 473.13 × 232.34
  4. Step 4: Simplify right side
    343.05x = 109,924.66
  5. Step 5: Solve for x
    x = 109,924.66/343.05
  6. Step 6: Final answer
    x = 320.43

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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.