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Finding the Fourth Proportional to 426.84, 589.80 and 333.82

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Solution

The fourth proportional to 426.84, 589.80 and 333.82 is: 461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.84 : 589.80 = 333.82 : x
  2. Step 2: Convert to fraction form
    426.84/589.80 = 333.82/x
  3. Step 3: Cross multiply
    426.84x = 589.80 × 333.82
  4. Step 4: Simplify right side
    426.84x = 196,887.04
  5. Step 5: Solve for x
    x = 196,887.04/426.84
  6. Step 6: Final answer
    x = 461.27

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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.