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Finding the Fourth Proportional to 499.42, 748.56 and 225.34

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Solution

The fourth proportional to 499.42, 748.56 and 225.34 is: 337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.42 : 748.56 = 225.34 : x
  2. Step 2: Convert to fraction form
    499.42/748.56 = 225.34/x
  3. Step 3: Cross multiply
    499.42x = 748.56 × 225.34
  4. Step 4: Simplify right side
    499.42x = 168,680.51
  5. Step 5: Solve for x
    x = 168,680.51/499.42
  6. Step 6: Final answer
    x = 337.75

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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.