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Finding the Fourth Proportional to 552.29, 828.39 and 278.57

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Solution

The fourth proportional to 552.29, 828.39 and 278.57 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 828.39 = 278.57 : x
  2. Step 2: Convert to fraction form
    552.29/828.39 = 278.57/x
  3. Step 3: Cross multiply
    552.29x = 828.39 × 278.57
  4. Step 4: Simplify right side
    552.29x = 230,764.60
  5. Step 5: Solve for x
    x = 230,764.60/552.29
  6. Step 6: Final answer
    x = 417.83

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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.