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Finding the Fourth Proportional to 552.83, 827.75 and 278.98

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Solution

The fourth proportional to 552.83, 827.75 and 278.98 is: 417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 827.75 = 278.98 : x
  2. Step 2: Convert to fraction form
    552.83/827.75 = 278.98/x
  3. Step 3: Cross multiply
    552.83x = 827.75 × 278.98
  4. Step 4: Simplify right side
    552.83x = 230,924.32
  5. Step 5: Solve for x
    x = 230,924.32/552.83
  6. Step 6: Final answer
    x = 417.72

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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.