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Finding the Fourth Proportional to 792.27, 1,188.18 and 244.35

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Solution

The fourth proportional to 792.27, 1,188.18 and 244.35 is: 366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.27 : 1,188.18 = 244.35 : x
  2. Step 2: Convert to fraction form
    792.27/1,188.18 = 244.35/x
  3. Step 3: Cross multiply
    792.27x = 1,188.18 × 244.35
  4. Step 4: Simplify right side
    792.27x = 290,331.78
  5. Step 5: Solve for x
    x = 290,331.78/792.27
  6. Step 6: Final answer
    x = 366.46

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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.