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Finding the Fourth Proportional to 552.94, 829.68 and 484.36

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Solution

The fourth proportional to 552.94, 829.68 and 484.36 is: 726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.94 : 829.68 = 484.36 : x
  2. Step 2: Convert to fraction form
    552.94/829.68 = 484.36/x
  3. Step 3: Cross multiply
    552.94x = 829.68 × 484.36
  4. Step 4: Simplify right side
    552.94x = 401,863.80
  5. Step 5: Solve for x
    x = 401,863.80/552.94
  6. Step 6: Final answer
    x = 726.78

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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.