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Finding the Fourth Proportional to 414.03, 620.13 and 405.73

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Solution

The fourth proportional to 414.03, 620.13 and 405.73 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.03 : 620.13 = 405.73 : x
  2. Step 2: Convert to fraction form
    414.03/620.13 = 405.73/x
  3. Step 3: Cross multiply
    414.03x = 620.13 × 405.73
  4. Step 4: Simplify right side
    414.03x = 251,602.24
  5. Step 5: Solve for x
    x = 251,602.24/414.03
  6. Step 6: Final answer
    x = 607.69

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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.