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Finding the Fourth Proportional to 414.39, 621.56 and 140.46

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Solution

The fourth proportional to 414.39, 621.56 and 140.46 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.39 : 621.56 = 140.46 : x
  2. Step 2: Convert to fraction form
    414.39/621.56 = 140.46/x
  3. Step 3: Cross multiply
    414.39x = 621.56 × 140.46
  4. Step 4: Simplify right side
    414.39x = 87,301.28
  5. Step 5: Solve for x
    x = 87,301.28/414.39
  6. Step 6: Final answer
    x = 210.67

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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.