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Finding the Fourth Proportional to 403.76, 606.34 and 218.56

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Solution

The fourth proportional to 403.76, 606.34 and 218.56 is: 328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 606.34 = 218.56 : x
  2. Step 2: Convert to fraction form
    403.76/606.34 = 218.56/x
  3. Step 3: Cross multiply
    403.76x = 606.34 × 218.56
  4. Step 4: Simplify right side
    403.76x = 132,520.34
  5. Step 5: Solve for x
    x = 132,520.34/403.76
  6. Step 6: Final answer
    x = 328.21

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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.