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Finding the Fourth Proportional to 270.91, 404.59 and 268.08

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Solution

The fourth proportional to 270.91, 404.59 and 268.08 is: 400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.91 : 404.59 = 268.08 : x
  2. Step 2: Convert to fraction form
    270.91/404.59 = 268.08/x
  3. Step 3: Cross multiply
    270.91x = 404.59 × 268.08
  4. Step 4: Simplify right side
    270.91x = 108,462.49
  5. Step 5: Solve for x
    x = 108,462.49/270.91
  6. Step 6: Final answer
    x = 400.36

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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.