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Finding the Fourth Proportional to 414.87, 619.73 and 306.87

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Solution

The fourth proportional to 414.87, 619.73 and 306.87 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.87 : 619.73 = 306.87 : x
  2. Step 2: Convert to fraction form
    414.87/619.73 = 306.87/x
  3. Step 3: Cross multiply
    414.87x = 619.73 × 306.87
  4. Step 4: Simplify right side
    414.87x = 190,175.01
  5. Step 5: Solve for x
    x = 190,175.01/414.87
  6. Step 6: Final answer
    x = 458.40

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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.