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Finding the Fourth Proportional to 552.67, 829.14 and 206.01

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Solution

The fourth proportional to 552.67, 829.14 and 206.01 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 829.14 = 206.01 : x
  2. Step 2: Convert to fraction form
    552.67/829.14 = 206.01/x
  3. Step 3: Cross multiply
    552.67x = 829.14 × 206.01
  4. Step 4: Simplify right side
    552.67x = 170,813.47
  5. Step 5: Solve for x
    x = 170,813.47/552.67
  6. Step 6: Final answer
    x = 309.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.