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Finding the Fourth Proportional to 293.44, 404.68 and 266.08

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Solution

The fourth proportional to 293.44, 404.68 and 266.08 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.68 = 266.08 : x
  2. Step 2: Convert to fraction form
    293.44/404.68 = 266.08/x
  3. Step 3: Cross multiply
    293.44x = 404.68 × 266.08
  4. Step 4: Simplify right side
    293.44x = 107,677.25
  5. Step 5: Solve for x
    x = 107,677.25/293.44
  6. Step 6: Final answer
    x = 366.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.