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Finding the Fourth Proportional to 671.76, 927.02 and 409.82

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Solution

The fourth proportional to 671.76, 927.02 and 409.82 is: 565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.76 : 927.02 = 409.82 : x
  2. Step 2: Convert to fraction form
    671.76/927.02 = 409.82/x
  3. Step 3: Cross multiply
    671.76x = 927.02 × 409.82
  4. Step 4: Simplify right side
    671.76x = 379,911.34
  5. Step 5: Solve for x
    x = 379,911.34/671.76
  6. Step 6: Final answer
    x = 565.55

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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.