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Finding the Fourth Proportional to 271.58, 404.71 and 263.78

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Solution

The fourth proportional to 271.58, 404.71 and 263.78 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.58 : 404.71 = 263.78 : x
  2. Step 2: Convert to fraction form
    271.58/404.71 = 263.78/x
  3. Step 3: Cross multiply
    271.58x = 404.71 × 263.78
  4. Step 4: Simplify right side
    271.58x = 106,753.08
  5. Step 5: Solve for x
    x = 106,753.08/271.58
  6. Step 6: Final answer
    x = 393.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.