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Finding the Fourth Proportional to 293.27, 403.38 and 259.43

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Solution

The fourth proportional to 293.27, 403.38 and 259.43 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 403.38 = 259.43 : x
  2. Step 2: Convert to fraction form
    293.27/403.38 = 259.43/x
  3. Step 3: Cross multiply
    293.27x = 403.38 × 259.43
  4. Step 4: Simplify right side
    293.27x = 104,646.86
  5. Step 5: Solve for x
    x = 104,646.86/293.27
  6. Step 6: Final answer
    x = 356.83

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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.