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Finding the Fourth Proportional to 402.86, 604.32 and 220.22

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Solution

The fourth proportional to 402.86, 604.32 and 220.22 is: 330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.86 : 604.32 = 220.22 : x
  2. Step 2: Convert to fraction form
    402.86/604.32 = 220.22/x
  3. Step 3: Cross multiply
    402.86x = 604.32 × 220.22
  4. Step 4: Simplify right side
    402.86x = 133,083.35
  5. Step 5: Solve for x
    x = 133,083.35/402.86
  6. Step 6: Final answer
    x = 330.35

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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.