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Finding the Fourth Proportional to 499.40, 748.70 and 210.60

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Solution

The fourth proportional to 499.40, 748.70 and 210.60 is: 315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 748.70 = 210.60 : x
  2. Step 2: Convert to fraction form
    499.40/748.70 = 210.60/x
  3. Step 3: Cross multiply
    499.40x = 748.70 × 210.60
  4. Step 4: Simplify right side
    499.40x = 157,676.22
  5. Step 5: Solve for x
    x = 157,676.22/499.40
  6. Step 6: Final answer
    x = 315.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.