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Finding the Fourth Proportional to 429.28, 643.34 and 233.80

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Solution

The fourth proportional to 429.28, 643.34 and 233.80 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.28 : 643.34 = 233.80 : x
  2. Step 2: Convert to fraction form
    429.28/643.34 = 233.80/x
  3. Step 3: Cross multiply
    429.28x = 643.34 × 233.80
  4. Step 4: Simplify right side
    429.28x = 150,411.87
  5. Step 5: Solve for x
    x = 150,411.87/429.28
  6. Step 6: Final answer
    x = 350.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.