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Finding the Fourth Proportional to 499.52, 749.05 and 268.35

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Solution

The fourth proportional to 499.52, 749.05 and 268.35 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 749.05 = 268.35 : x
  2. Step 2: Convert to fraction form
    499.52/749.05 = 268.35/x
  3. Step 3: Cross multiply
    499.52x = 749.05 × 268.35
  4. Step 4: Simplify right side
    499.52x = 201,007.57
  5. Step 5: Solve for x
    x = 201,007.57/499.52
  6. Step 6: Final answer
    x = 402.40

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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.