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Finding the Fourth Proportional to 552.48, 828.46 and 244.42

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Solution

The fourth proportional to 552.48, 828.46 and 244.42 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 828.46 = 244.42 : x
  2. Step 2: Convert to fraction form
    552.48/828.46 = 244.42/x
  3. Step 3: Cross multiply
    552.48x = 828.46 × 244.42
  4. Step 4: Simplify right side
    552.48x = 202,489.51
  5. Step 5: Solve for x
    x = 202,489.51/552.48
  6. Step 6: Final answer
    x = 366.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.