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Finding the Fourth Proportional to 414.80, 619.84 and 298.70

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Solution

The fourth proportional to 414.80, 619.84 and 298.70 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 619.84 = 298.70 : x
  2. Step 2: Convert to fraction form
    414.80/619.84 = 298.70/x
  3. Step 3: Cross multiply
    414.80x = 619.84 × 298.70
  4. Step 4: Simplify right side
    414.80x = 185,146.21
  5. Step 5: Solve for x
    x = 185,146.21/414.80
  6. Step 6: Final answer
    x = 446.35

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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.