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Finding the Fourth Proportional to 498.89, 748.36 and 190.70

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Solution

The fourth proportional to 498.89, 748.36 and 190.70 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.89 : 748.36 = 190.70 : x
  2. Step 2: Convert to fraction form
    498.89/748.36 = 190.70/x
  3. Step 3: Cross multiply
    498.89x = 748.36 × 190.70
  4. Step 4: Simplify right side
    498.89x = 142,708.38
  5. Step 5: Solve for x
    x = 142,708.38/498.89
  6. Step 6: Final answer
    x = 286.05

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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.