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Finding the Fourth Proportional to 606.78, 909.86 and 216.63

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Solution

The fourth proportional to 606.78, 909.86 and 216.63 is: 324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 909.86 = 216.63 : x
  2. Step 2: Convert to fraction form
    606.78/909.86 = 216.63/x
  3. Step 3: Cross multiply
    606.78x = 909.86 × 216.63
  4. Step 4: Simplify right side
    606.78x = 197,101.89
  5. Step 5: Solve for x
    x = 197,101.89/606.78
  6. Step 6: Final answer
    x = 324.83

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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.