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Finding the Fourth Proportional to 414.83, 621.94 and 154.70

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Solution

The fourth proportional to 414.83, 621.94 and 154.70 is: 231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 621.94 = 154.70 : x
  2. Step 2: Convert to fraction form
    414.83/621.94 = 154.70/x
  3. Step 3: Cross multiply
    414.83x = 621.94 × 154.70
  4. Step 4: Simplify right side
    414.83x = 96,214.12
  5. Step 5: Solve for x
    x = 96,214.12/414.83
  6. Step 6: Final answer
    x = 231.94

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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.