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Finding the Fourth Proportional to 414.26, 618.03 and 365.66

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Solution

The fourth proportional to 414.26, 618.03 and 365.66 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.26 : 618.03 = 365.66 : x
  2. Step 2: Convert to fraction form
    414.26/618.03 = 365.66/x
  3. Step 3: Cross multiply
    414.26x = 618.03 × 365.66
  4. Step 4: Simplify right side
    414.26x = 225,987.02
  5. Step 5: Solve for x
    x = 225,987.02/414.26
  6. Step 6: Final answer
    x = 545.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.