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Finding the Fourth Proportional to 642.32, 963.41 and 276.81

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Solution

The fourth proportional to 642.32, 963.41 and 276.81 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 963.41 = 276.81 : x
  2. Step 2: Convert to fraction form
    642.32/963.41 = 276.81/x
  3. Step 3: Cross multiply
    642.32x = 963.41 × 276.81
  4. Step 4: Simplify right side
    642.32x = 266,680.14
  5. Step 5: Solve for x
    x = 266,680.14/642.32
  6. Step 6: Final answer
    x = 415.18

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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.