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Finding the Fourth Proportional to 429.89, 639.90 and 409.97

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Solution

The fourth proportional to 429.89, 639.90 and 409.97 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.89 : 639.90 = 409.97 : x
  2. Step 2: Convert to fraction form
    429.89/639.90 = 409.97/x
  3. Step 3: Cross multiply
    429.89x = 639.90 × 409.97
  4. Step 4: Simplify right side
    429.89x = 262,337.75
  5. Step 5: Solve for x
    x = 262,337.75/429.89
  6. Step 6: Final answer
    x = 610.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.