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Finding the Fourth Proportional to 426.26, 587.86 and 293.56

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Solution

The fourth proportional to 426.26, 587.86 and 293.56 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.26 : 587.86 = 293.56 : x
  2. Step 2: Convert to fraction form
    426.26/587.86 = 293.56/x
  3. Step 3: Cross multiply
    426.26x = 587.86 × 293.56
  4. Step 4: Simplify right side
    426.26x = 172,569.98
  5. Step 5: Solve for x
    x = 172,569.98/426.26
  6. Step 6: Final answer
    x = 404.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.