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Finding the Fourth Proportional to 414.80, 619.78 and 414.80

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Solution

The fourth proportional to 414.80, 619.78 and 414.80 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 619.78 = 414.80 : x
  2. Step 2: Convert to fraction form
    414.80/619.78 = 414.80/x
  3. Step 3: Cross multiply
    414.80x = 619.78 × 414.80
  4. Step 4: Simplify right side
    414.80x = 257,084.74
  5. Step 5: Solve for x
    x = 257,084.74/414.80
  6. Step 6: Final answer
    x = 619.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.