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Finding the Fourth Proportional to 343.72, 474.24 and 233.20

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Solution

The fourth proportional to 343.72, 474.24 and 233.20 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.72 : 474.24 = 233.20 : x
  2. Step 2: Convert to fraction form
    343.72/474.24 = 233.20/x
  3. Step 3: Cross multiply
    343.72x = 474.24 × 233.20
  4. Step 4: Simplify right side
    343.72x = 110,592.77
  5. Step 5: Solve for x
    x = 110,592.77/343.72
  6. Step 6: Final answer
    x = 321.75

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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.