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Finding the Fourth Proportional to 414.34, 620.96 and 170.60

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Solution

The fourth proportional to 414.34, 620.96 and 170.60 is: 255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.34 : 620.96 = 170.60 : x
  2. Step 2: Convert to fraction form
    414.34/620.96 = 170.60/x
  3. Step 3: Cross multiply
    414.34x = 620.96 × 170.60
  4. Step 4: Simplify right side
    414.34x = 105,931.82
  5. Step 5: Solve for x
    x = 105,931.82/414.34
  6. Step 6: Final answer
    x = 255.67

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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.