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Finding the Fourth Proportional to 380.73, 521.23 and 371.01

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Solution

The fourth proportional to 380.73, 521.23 and 371.01 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.73 : 521.23 = 371.01 : x
  2. Step 2: Convert to fraction form
    380.73/521.23 = 371.01/x
  3. Step 3: Cross multiply
    380.73x = 521.23 × 371.01
  4. Step 4: Simplify right side
    380.73x = 193,380.61
  5. Step 5: Solve for x
    x = 193,380.61/380.73
  6. Step 6: Final answer
    x = 507.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.