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Finding the Fourth Proportional to 402.99, 604.61 and 159.38

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Solution

The fourth proportional to 402.99, 604.61 and 159.38 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.99 : 604.61 = 159.38 : x
  2. Step 2: Convert to fraction form
    402.99/604.61 = 159.38/x
  3. Step 3: Cross multiply
    402.99x = 604.61 × 159.38
  4. Step 4: Simplify right side
    402.99x = 96,362.68
  5. Step 5: Solve for x
    x = 96,362.68/402.99
  6. Step 6: Final answer
    x = 239.12

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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.