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Finding the Fourth Proportional to 429.38, 644.08 and 246.69

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Solution

The fourth proportional to 429.38, 644.08 and 246.69 is: 370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.38 : 644.08 = 246.69 : x
  2. Step 2: Convert to fraction form
    429.38/644.08 = 246.69/x
  3. Step 3: Cross multiply
    429.38x = 644.08 × 246.69
  4. Step 4: Simplify right side
    429.38x = 158,884.87
  5. Step 5: Solve for x
    x = 158,884.87/429.38
  6. Step 6: Final answer
    x = 370.04

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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.