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Finding the Fourth Proportional to 293.96, 404.84 and 252.50

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Solution

The fourth proportional to 293.96, 404.84 and 252.50 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.96 : 404.84 = 252.50 : x
  2. Step 2: Convert to fraction form
    293.96/404.84 = 252.50/x
  3. Step 3: Cross multiply
    293.96x = 404.84 × 252.50
  4. Step 4: Simplify right side
    293.96x = 102,218.81
  5. Step 5: Solve for x
    x = 102,218.81/293.96
  6. Step 6: Final answer
    x = 347.74

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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.