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Finding the Fourth Proportional to 293.96, 404.82 and 293

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Solution

The fourth proportional to 293.96, 404.82 and 293 is: 403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 404.82 = 293 : x
  2. Step 2: Convert to fraction form
    293.96/404.82 = 293/x
  3. Step 3: Cross multiply
    293.96x = 404.82 × 293
  4. Step 4: Simplify right side
    293.96x = 118,612.26
  5. Step 5: Solve for x
    x = 118,612.26/293.96
  6. Step 6: Final answer
    x = 403.50

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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.