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Finding the Fourth Proportional to 429.91, 645.39 and 408.39

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Solution

The fourth proportional to 429.91, 645.39 and 408.39 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.91 : 645.39 = 408.39 : x
  2. Step 2: Convert to fraction form
    429.91/645.39 = 408.39/x
  3. Step 3: Cross multiply
    429.91x = 645.39 × 408.39
  4. Step 4: Simplify right side
    429.91x = 263,570.82
  5. Step 5: Solve for x
    x = 263,570.82/429.91
  6. Step 6: Final answer
    x = 613.08

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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.