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Finding the Fourth Proportional to 402.84, 604.09 and 159.39

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Solution

The fourth proportional to 402.84, 604.09 and 159.39 is: 239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 604.09 = 159.39 : x
  2. Step 2: Convert to fraction form
    402.84/604.09 = 159.39/x
  3. Step 3: Cross multiply
    402.84x = 604.09 × 159.39
  4. Step 4: Simplify right side
    402.84x = 96,285.91
  5. Step 5: Solve for x
    x = 96,285.91/402.84
  6. Step 6: Final answer
    x = 239.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.