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Finding the Fourth Proportional to 495.11, 742.77 and 278.44

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Solution

The fourth proportional to 495.11, 742.77 and 278.44 is: 417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.11 : 742.77 = 278.44 : x
  2. Step 2: Convert to fraction form
    495.11/742.77 = 278.44/x
  3. Step 3: Cross multiply
    495.11x = 742.77 × 278.44
  4. Step 4: Simplify right side
    495.11x = 206,815.02
  5. Step 5: Solve for x
    x = 206,815.02/495.11
  6. Step 6: Final answer
    x = 417.71

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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.