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Finding the Fourth Proportional to 414.04, 620.16 and 240.52

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Solution

The fourth proportional to 414.04, 620.16 and 240.52 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.04 : 620.16 = 240.52 : x
  2. Step 2: Convert to fraction form
    414.04/620.16 = 240.52/x
  3. Step 3: Cross multiply
    414.04x = 620.16 × 240.52
  4. Step 4: Simplify right side
    414.04x = 149,160.88
  5. Step 5: Solve for x
    x = 149,160.88/414.04
  6. Step 6: Final answer
    x = 360.26

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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.