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Finding the Fourth Proportional to 343.58, 473.75 and 233.11

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Solution

The fourth proportional to 343.58, 473.75 and 233.11 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.58 : 473.75 = 233.11 : x
  2. Step 2: Convert to fraction form
    343.58/473.75 = 233.11/x
  3. Step 3: Cross multiply
    343.58x = 473.75 × 233.11
  4. Step 4: Simplify right side
    343.58x = 110,436.16
  5. Step 5: Solve for x
    x = 110,436.16/343.58
  6. Step 6: Final answer
    x = 321.43

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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.