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Finding the Fourth Proportional to 642.92, 964.56 and 204.19

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Solution

The fourth proportional to 642.92, 964.56 and 204.19 is: 306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 964.56 = 204.19 : x
  2. Step 2: Convert to fraction form
    642.92/964.56 = 204.19/x
  3. Step 3: Cross multiply
    642.92x = 964.56 × 204.19
  4. Step 4: Simplify right side
    642.92x = 196,950.71
  5. Step 5: Solve for x
    x = 196,950.71/642.92
  6. Step 6: Final answer
    x = 306.34

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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.