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Finding the Fourth Proportional to 499.84, 748.32 and 306.88

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Solution

The fourth proportional to 499.84, 748.32 and 306.88 is: 459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.84 : 748.32 = 306.88 : x
  2. Step 2: Convert to fraction form
    499.84/748.32 = 306.88/x
  3. Step 3: Cross multiply
    499.84x = 748.32 × 306.88
  4. Step 4: Simplify right side
    499.84x = 229,644.44
  5. Step 5: Solve for x
    x = 229,644.44/499.84
  6. Step 6: Final answer
    x = 459.44

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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.