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Finding the Fourth Proportional to 414.39, 621.57 and 157.89

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Solution

The fourth proportional to 414.39, 621.57 and 157.89 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.39 : 621.57 = 157.89 : x
  2. Step 2: Convert to fraction form
    414.39/621.57 = 157.89/x
  3. Step 3: Cross multiply
    414.39x = 621.57 × 157.89
  4. Step 4: Simplify right side
    414.39x = 98,139.69
  5. Step 5: Solve for x
    x = 98,139.69/414.39
  6. Step 6: Final answer
    x = 236.83

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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.