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Finding the Fourth Proportional to 552.75, 829.04 and 389.94

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Solution

The fourth proportional to 552.75, 829.04 and 389.94 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 829.04 = 389.94 : x
  2. Step 2: Convert to fraction form
    552.75/829.04 = 389.94/x
  3. Step 3: Cross multiply
    552.75x = 829.04 × 389.94
  4. Step 4: Simplify right side
    552.75x = 323,273.91
  5. Step 5: Solve for x
    x = 323,273.91/552.75
  6. Step 6: Final answer
    x = 584.85

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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.