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Finding the Fourth Proportional to 393.91, 590.89 and 120.02

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Solution

The fourth proportional to 393.91, 590.89 and 120.02 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.91 : 590.89 = 120.02 : x
  2. Step 2: Convert to fraction form
    393.91/590.89 = 120.02/x
  3. Step 3: Cross multiply
    393.91x = 590.89 × 120.02
  4. Step 4: Simplify right side
    393.91x = 70,916.54
  5. Step 5: Solve for x
    x = 70,916.54/393.91
  6. Step 6: Final answer
    x = 180.03

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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.