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Finding the Fourth Proportional to 606.38, 909.78 and 216.40

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Solution

The fourth proportional to 606.38, 909.78 and 216.40 is: 324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.38 : 909.78 = 216.40 : x
  2. Step 2: Convert to fraction form
    606.38/909.78 = 216.40/x
  3. Step 3: Cross multiply
    606.38x = 909.78 × 216.40
  4. Step 4: Simplify right side
    606.38x = 196,876.39
  5. Step 5: Solve for x
    x = 196,876.39/606.38
  6. Step 6: Final answer
    x = 324.67

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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.