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Finding the Fourth Proportional to 552.83, 829.25 and 206.14

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Solution

The fourth proportional to 552.83, 829.25 and 206.14 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 829.25 = 206.14 : x
  2. Step 2: Convert to fraction form
    552.83/829.25 = 206.14/x
  3. Step 3: Cross multiply
    552.83x = 829.25 × 206.14
  4. Step 4: Simplify right side
    552.83x = 170,943.48
  5. Step 5: Solve for x
    x = 170,943.48/552.83
  6. Step 6: Final answer
    x = 309.22

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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.