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Finding the Fourth Proportional to 414.68, 624.83 and 344.12

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Solution

The fourth proportional to 414.68, 624.83 and 344.12 is: 518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 624.83 = 344.12 : x
  2. Step 2: Convert to fraction form
    414.68/624.83 = 344.12/x
  3. Step 3: Cross multiply
    414.68x = 624.83 × 344.12
  4. Step 4: Simplify right side
    414.68x = 215,016.50
  5. Step 5: Solve for x
    x = 215,016.50/414.68
  6. Step 6: Final answer
    x = 518.51

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.