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Finding the Fourth Proportional to 552.56, 829.17 and 278.64

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Solution

The fourth proportional to 552.56, 829.17 and 278.64 is: 418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 829.17 = 278.64 : x
  2. Step 2: Convert to fraction form
    552.56/829.17 = 278.64/x
  3. Step 3: Cross multiply
    552.56x = 829.17 × 278.64
  4. Step 4: Simplify right side
    552.56x = 231,039.93
  5. Step 5: Solve for x
    x = 231,039.93/552.56
  6. Step 6: Final answer
    x = 418.13

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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.