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Finding the Fourth Proportional to 414.84, 619.62 and 391.16

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Solution

The fourth proportional to 414.84, 619.62 and 391.16 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 619.62 = 391.16 : x
  2. Step 2: Convert to fraction form
    414.84/619.62 = 391.16/x
  3. Step 3: Cross multiply
    414.84x = 619.62 × 391.16
  4. Step 4: Simplify right side
    414.84x = 242,370.56
  5. Step 5: Solve for x
    x = 242,370.56/414.84
  6. Step 6: Final answer
    x = 584.25

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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.