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Finding the Fourth Proportional to 671.88, 927.24 and 409.68

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Solution

The fourth proportional to 671.88, 927.24 and 409.68 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.88 : 927.24 = 409.68 : x
  2. Step 2: Convert to fraction form
    671.88/927.24 = 409.68/x
  3. Step 3: Cross multiply
    671.88x = 927.24 × 409.68
  4. Step 4: Simplify right side
    671.88x = 379,871.68
  5. Step 5: Solve for x
    x = 379,871.68/671.88
  6. Step 6: Final answer
    x = 565.39

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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.