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Finding the Fourth Proportional to 429.30, 642.33 and 326.43

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Solution

The fourth proportional to 429.30, 642.33 and 326.43 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 642.33 = 326.43 : x
  2. Step 2: Convert to fraction form
    429.30/642.33 = 326.43/x
  3. Step 3: Cross multiply
    429.30x = 642.33 × 326.43
  4. Step 4: Simplify right side
    429.30x = 209,675.78
  5. Step 5: Solve for x
    x = 209,675.78/429.30
  6. Step 6: Final answer
    x = 488.41

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