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Finding the Fourth Proportional to 499.10, 749.09 and 397.49

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Solution

The fourth proportional to 499.10, 749.09 and 397.49 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.10 : 749.09 = 397.49 : x
  2. Step 2: Convert to fraction form
    499.10/749.09 = 397.49/x
  3. Step 3: Cross multiply
    499.10x = 749.09 × 397.49
  4. Step 4: Simplify right side
    499.10x = 297,753.03
  5. Step 5: Solve for x
    x = 297,753.03/499.10
  6. Step 6: Final answer
    x = 596.59

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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.