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Finding the Fourth Proportional to 363.08, 543.90 and 219.08

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Solution

The fourth proportional to 363.08, 543.90 and 219.08 is: 328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.08 : 543.90 = 219.08 : x
  2. Step 2: Convert to fraction form
    363.08/543.90 = 219.08/x
  3. Step 3: Cross multiply
    363.08x = 543.90 × 219.08
  4. Step 4: Simplify right side
    363.08x = 119,157.61
  5. Step 5: Solve for x
    x = 119,157.61/363.08
  6. Step 6: Final answer
    x = 328.19

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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.