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Finding the Fourth Proportional to 499.30, 748.85 and 225.21

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Solution

The fourth proportional to 499.30, 748.85 and 225.21 is: 337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.30 : 748.85 = 225.21 : x
  2. Step 2: Convert to fraction form
    499.30/748.85 = 225.21/x
  3. Step 3: Cross multiply
    499.30x = 748.85 × 225.21
  4. Step 4: Simplify right side
    499.30x = 168,650.19
  5. Step 5: Solve for x
    x = 168,650.19/499.30
  6. Step 6: Final answer
    x = 337.77

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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.