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Finding the Fourth Proportional to 293.60, 404.32 and 249.40

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Solution

The fourth proportional to 293.60, 404.32 and 249.40 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 404.32 = 249.40 : x
  2. Step 2: Convert to fraction form
    293.60/404.32 = 249.40/x
  3. Step 3: Cross multiply
    293.60x = 404.32 × 249.40
  4. Step 4: Simplify right side
    293.60x = 100,837.41
  5. Step 5: Solve for x
    x = 100,837.41/293.60
  6. Step 6: Final answer
    x = 343.45

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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.