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Finding the Fourth Proportional to 343.72, 474.47 and 233.56

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Solution

The fourth proportional to 343.72, 474.47 and 233.56 is: 322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.72 : 474.47 = 233.56 : x
  2. Step 2: Convert to fraction form
    343.72/474.47 = 233.56/x
  3. Step 3: Cross multiply
    343.72x = 474.47 × 233.56
  4. Step 4: Simplify right side
    343.72x = 110,817.21
  5. Step 5: Solve for x
    x = 110,817.21/343.72
  6. Step 6: Final answer
    x = 322.41

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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.