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Finding the Fourth Proportional to 552.53, 827.93 and 278.82

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Solution

The fourth proportional to 552.53, 827.93 and 278.82 is: 417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.53 : 827.93 = 278.82 : x
  2. Step 2: Convert to fraction form
    552.53/827.93 = 278.82/x
  3. Step 3: Cross multiply
    552.53x = 827.93 × 278.82
  4. Step 4: Simplify right side
    552.53x = 230,844.14
  5. Step 5: Solve for x
    x = 230,844.14/552.53
  6. Step 6: Final answer
    x = 417.79

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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.