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Finding the Fourth Proportional to 426.82, 589.01 and 240.33

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Solution

The fourth proportional to 426.82, 589.01 and 240.33 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.82 : 589.01 = 240.33 : x
  2. Step 2: Convert to fraction form
    426.82/589.01 = 240.33/x
  3. Step 3: Cross multiply
    426.82x = 589.01 × 240.33
  4. Step 4: Simplify right side
    426.82x = 141,557.78
  5. Step 5: Solve for x
    x = 141,557.78/426.82
  6. Step 6: Final answer
    x = 331.66

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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.