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Finding the Fourth Proportional to 728.25, 1,004.98 and 396.68

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Solution

The fourth proportional to 728.25, 1,004.98 and 396.68 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,004.98 = 396.68 : x
  2. Step 2: Convert to fraction form
    728.25/1,004.98 = 396.68/x
  3. Step 3: Cross multiply
    728.25x = 1,004.98 × 396.68
  4. Step 4: Simplify right side
    728.25x = 398,655.47
  5. Step 5: Solve for x
    x = 398,655.47/728.25
  6. Step 6: Final answer
    x = 547.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.