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Finding the Fourth Proportional to 671.64, 927.18 and 409.80

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Solution

The fourth proportional to 671.64, 927.18 and 409.80 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.64 : 927.18 = 409.80 : x
  2. Step 2: Convert to fraction form
    671.64/927.18 = 409.80/x
  3. Step 3: Cross multiply
    671.64x = 927.18 × 409.80
  4. Step 4: Simplify right side
    671.64x = 379,958.36
  5. Step 5: Solve for x
    x = 379,958.36/671.64
  6. Step 6: Final answer
    x = 565.72

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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.