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Finding the Fourth Proportional to 499.06, 747.89 and 225.05

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Solution

The fourth proportional to 499.06, 747.89 and 225.05 is: 337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.06 : 747.89 = 225.05 : x
  2. Step 2: Convert to fraction form
    499.06/747.89 = 225.05/x
  3. Step 3: Cross multiply
    499.06x = 747.89 × 225.05
  4. Step 4: Simplify right side
    499.06x = 168,311.52
  5. Step 5: Solve for x
    x = 168,311.52/499.06
  6. Step 6: Final answer
    x = 337.26

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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.