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Finding the Fourth Proportional to 342.97, 473.70 and 232.25

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Solution

The fourth proportional to 342.97, 473.70 and 232.25 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.97 : 473.70 = 232.25 : x
  2. Step 2: Convert to fraction form
    342.97/473.70 = 232.25/x
  3. Step 3: Cross multiply
    342.97x = 473.70 × 232.25
  4. Step 4: Simplify right side
    342.97x = 110,016.83
  5. Step 5: Solve for x
    x = 110,016.83/342.97
  6. Step 6: Final answer
    x = 320.78

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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.