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Finding the Fourth Proportional to 426.32, 639.60 and 209.74

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Solution

The fourth proportional to 426.32, 639.60 and 209.74 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.32 : 639.60 = 209.74 : x
  2. Step 2: Convert to fraction form
    426.32/639.60 = 209.74/x
  3. Step 3: Cross multiply
    426.32x = 639.60 × 209.74
  4. Step 4: Simplify right side
    426.32x = 134,149.70
  5. Step 5: Solve for x
    x = 134,149.70/426.32
  6. Step 6: Final answer
    x = 314.67

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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.