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Finding the Fourth Proportional to 642.43, 964.08 and 399.09

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Solution

The fourth proportional to 642.43, 964.08 and 399.09 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.43 : 964.08 = 399.09 : x
  2. Step 2: Convert to fraction form
    642.43/964.08 = 399.09/x
  3. Step 3: Cross multiply
    642.43x = 964.08 × 399.09
  4. Step 4: Simplify right side
    642.43x = 384,754.69
  5. Step 5: Solve for x
    x = 384,754.69/642.43
  6. Step 6: Final answer
    x = 598.91

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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.