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Finding the Fourth Proportional to 414.03, 620.02 and 240.28

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Solution

The fourth proportional to 414.03, 620.02 and 240.28 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.03 : 620.02 = 240.28 : x
  2. Step 2: Convert to fraction form
    414.03/620.02 = 240.28/x
  3. Step 3: Cross multiply
    414.03x = 620.02 × 240.28
  4. Step 4: Simplify right side
    414.03x = 148,978.41
  5. Step 5: Solve for x
    x = 148,978.41/414.03
  6. Step 6: Final answer
    x = 359.83

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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.