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Finding the Fourth Proportional to 543.87, 816.62 and 219.87

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Solution

The fourth proportional to 543.87, 816.62 and 219.87 is: 330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 816.62 = 219.87 : x
  2. Step 2: Convert to fraction form
    543.87/816.62 = 219.87/x
  3. Step 3: Cross multiply
    543.87x = 816.62 × 219.87
  4. Step 4: Simplify right side
    543.87x = 179,549.14
  5. Step 5: Solve for x
    x = 179,549.14/543.87
  6. Step 6: Final answer
    x = 330.13

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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.