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Finding the Fourth Proportional to 293.68, 404.71 and 274.22

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Solution

The fourth proportional to 293.68, 404.71 and 274.22 is: 377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.68 : 404.71 = 274.22 : x
  2. Step 2: Convert to fraction form
    293.68/404.71 = 274.22/x
  3. Step 3: Cross multiply
    293.68x = 404.71 × 274.22
  4. Step 4: Simplify right side
    293.68x = 110,979.58
  5. Step 5: Solve for x
    x = 110,979.58/293.68
  6. Step 6: Final answer
    x = 377.89

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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.