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Finding the Fourth Proportional to 293.68, 404.76 and 235.36

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Solution

The fourth proportional to 293.68, 404.76 and 235.36 is: 324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.68 : 404.76 = 235.36 : x
  2. Step 2: Convert to fraction form
    293.68/404.76 = 235.36/x
  3. Step 3: Cross multiply
    293.68x = 404.76 × 235.36
  4. Step 4: Simplify right side
    293.68x = 95,264.31
  5. Step 5: Solve for x
    x = 95,264.31/293.68
  6. Step 6: Final answer
    x = 324.38

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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.