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Finding the Fourth Proportional to 414.90, 622.66 and 306.98

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Solution

The fourth proportional to 414.90, 622.66 and 306.98 is: 460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.90 : 622.66 = 306.98 : x
  2. Step 2: Convert to fraction form
    414.90/622.66 = 306.98/x
  3. Step 3: Cross multiply
    414.90x = 622.66 × 306.98
  4. Step 4: Simplify right side
    414.90x = 191,144.17
  5. Step 5: Solve for x
    x = 191,144.17/414.90
  6. Step 6: Final answer
    x = 460.70

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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.