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Finding the Fourth Proportional to 499.92, 749.16 and 243.60

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Solution

The fourth proportional to 499.92, 749.16 and 243.60 is: 365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 749.16 = 243.60 : x
  2. Step 2: Convert to fraction form
    499.92/749.16 = 243.60/x
  3. Step 3: Cross multiply
    499.92x = 749.16 × 243.60
  4. Step 4: Simplify right side
    499.92x = 182,495.38
  5. Step 5: Solve for x
    x = 182,495.38/499.92
  6. Step 6: Final answer
    x = 365.05

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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.