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Finding the Fourth Proportional to 552.92, 829.42 and 278.86

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Solution

The fourth proportional to 552.92, 829.42 and 278.86 is: 418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.92 : 829.42 = 278.86 : x
  2. Step 2: Convert to fraction form
    552.92/829.42 = 278.86/x
  3. Step 3: Cross multiply
    552.92x = 829.42 × 278.86
  4. Step 4: Simplify right side
    552.92x = 231,292.06
  5. Step 5: Solve for x
    x = 231,292.06/552.92
  6. Step 6: Final answer
    x = 418.31

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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.