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Finding the Fourth Proportional to 552.05, 828.07 and 243.89

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Solution

The fourth proportional to 552.05, 828.07 and 243.89 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.05 : 828.07 = 243.89 : x
  2. Step 2: Convert to fraction form
    552.05/828.07 = 243.89/x
  3. Step 3: Cross multiply
    552.05x = 828.07 × 243.89
  4. Step 4: Simplify right side
    552.05x = 201,953.24
  5. Step 5: Solve for x
    x = 201,953.24/552.05
  6. Step 6: Final answer
    x = 365.83

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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.