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Finding the Fourth Proportional to 768.32, 1,152.66 and 281.38

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Solution

The fourth proportional to 768.32, 1,152.66 and 281.38 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,152.66 = 281.38 : x
  2. Step 2: Convert to fraction form
    768.32/1,152.66 = 281.38/x
  3. Step 3: Cross multiply
    768.32x = 1,152.66 × 281.38
  4. Step 4: Simplify right side
    768.32x = 324,335.47
  5. Step 5: Solve for x
    x = 324,335.47/768.32
  6. Step 6: Final answer
    x = 422.14

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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.