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Finding the Fourth Proportional to 552.84, 829.31 and 201.54

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Solution

The fourth proportional to 552.84, 829.31 and 201.54 is: 302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.84 : 829.31 = 201.54 : x
  2. Step 2: Convert to fraction form
    552.84/829.31 = 201.54/x
  3. Step 3: Cross multiply
    552.84x = 829.31 × 201.54
  4. Step 4: Simplify right side
    552.84x = 167,140.02
  5. Step 5: Solve for x
    x = 167,140.02/552.84
  6. Step 6: Final answer
    x = 302.33

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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.