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Finding the Fourth Proportional to 414.24, 619.74 and 231.72

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Solution

The fourth proportional to 414.24, 619.74 and 231.72 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 619.74 = 231.72 : x
  2. Step 2: Convert to fraction form
    414.24/619.74 = 231.72/x
  3. Step 3: Cross multiply
    414.24x = 619.74 × 231.72
  4. Step 4: Simplify right side
    414.24x = 143,606.15
  5. Step 5: Solve for x
    x = 143,606.15/414.24
  6. Step 6: Final answer
    x = 346.67

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Why These Related Problems?

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