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Finding the Fourth Proportional to 414.35, 621.25 and 219.15

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Solution

The fourth proportional to 414.35, 621.25 and 219.15 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.35 : 621.25 = 219.15 : x
  2. Step 2: Convert to fraction form
    414.35/621.25 = 219.15/x
  3. Step 3: Cross multiply
    414.35x = 621.25 × 219.15
  4. Step 4: Simplify right side
    414.35x = 136,146.94
  5. Step 5: Solve for x
    x = 136,146.94/414.35
  6. Step 6: Final answer
    x = 328.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.