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Finding the Fourth Proportional to 671.44, 925.68 and 574.24

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Solution

The fourth proportional to 671.44, 925.68 and 574.24 is: 791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 925.68 = 574.24 : x
  2. Step 2: Convert to fraction form
    671.44/925.68 = 574.24/x
  3. Step 3: Cross multiply
    671.44x = 925.68 × 574.24
  4. Step 4: Simplify right side
    671.44x = 531,562.48
  5. Step 5: Solve for x
    x = 531,562.48/671.44
  6. Step 6: Final answer
    x = 791.68

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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.