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Finding the Fourth Proportional to 414.24, 620.86 and 290.16

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Solution

The fourth proportional to 414.24, 620.86 and 290.16 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 620.86 = 290.16 : x
  2. Step 2: Convert to fraction form
    414.24/620.86 = 290.16/x
  3. Step 3: Cross multiply
    414.24x = 620.86 × 290.16
  4. Step 4: Simplify right side
    414.24x = 180,147.29
  5. Step 5: Solve for x
    x = 180,147.29/414.24
  6. Step 6: Final answer
    x = 434.89

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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.