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Finding the Fourth Proportional to 429.73, 593.02 and 233.24

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Solution

The fourth proportional to 429.73, 593.02 and 233.24 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.73 : 593.02 = 233.24 : x
  2. Step 2: Convert to fraction form
    429.73/593.02 = 233.24/x
  3. Step 3: Cross multiply
    429.73x = 593.02 × 233.24
  4. Step 4: Simplify right side
    429.73x = 138,315.98
  5. Step 5: Solve for x
    x = 138,315.98/429.73
  6. Step 6: Final answer
    x = 321.87

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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.