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Finding the Fourth Proportional to 379.80, 566.01 and 371.61

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Solution

The fourth proportional to 379.80, 566.01 and 371.61 is: 553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 566.01 = 371.61 : x
  2. Step 2: Convert to fraction form
    379.80/566.01 = 371.61/x
  3. Step 3: Cross multiply
    379.80x = 566.01 × 371.61
  4. Step 4: Simplify right side
    379.80x = 210,334.98
  5. Step 5: Solve for x
    x = 210,334.98/379.80
  6. Step 6: Final answer
    x = 553.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.