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Finding the Fourth Proportional to 552.80, 829.16 and 206.12

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Solution

The fourth proportional to 552.80, 829.16 and 206.12 is: 309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.80 : 829.16 = 206.12 : x
  2. Step 2: Convert to fraction form
    552.80/829.16 = 206.12/x
  3. Step 3: Cross multiply
    552.80x = 829.16 × 206.12
  4. Step 4: Simplify right side
    552.80x = 170,906.46
  5. Step 5: Solve for x
    x = 170,906.46/552.80
  6. Step 6: Final answer
    x = 309.17

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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.