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Finding the Fourth Proportional to 426.98, 589.21 and 240.47

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Solution

The fourth proportional to 426.98, 589.21 and 240.47 is: 331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.98 : 589.21 = 240.47 : x
  2. Step 2: Convert to fraction form
    426.98/589.21 = 240.47/x
  3. Step 3: Cross multiply
    426.98x = 589.21 × 240.47
  4. Step 4: Simplify right side
    426.98x = 141,687.33
  5. Step 5: Solve for x
    x = 141,687.33/426.98
  6. Step 6: Final answer
    x = 331.84

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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.