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Finding the Fourth Proportional to 499.38, 748.89 and 210.84

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Solution

The fourth proportional to 499.38, 748.89 and 210.84 is: 316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 748.89 = 210.84 : x
  2. Step 2: Convert to fraction form
    499.38/748.89 = 210.84/x
  3. Step 3: Cross multiply
    499.38x = 748.89 × 210.84
  4. Step 4: Simplify right side
    499.38x = 157,895.97
  5. Step 5: Solve for x
    x = 157,895.97/499.38
  6. Step 6: Final answer
    x = 316.18

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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.