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Finding the Fourth Proportional to 499.38, 749.08 and 207.06

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Solution

The fourth proportional to 499.38, 749.08 and 207.06 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 749.08 = 207.06 : x
  2. Step 2: Convert to fraction form
    499.38/749.08 = 207.06/x
  3. Step 3: Cross multiply
    499.38x = 749.08 × 207.06
  4. Step 4: Simplify right side
    499.38x = 155,104.50
  5. Step 5: Solve for x
    x = 155,104.50/499.38
  6. Step 6: Final answer
    x = 310.59

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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.