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Finding the Fourth Proportional to 377.71, 563.27 and 362.34

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Solution

The fourth proportional to 377.71, 563.27 and 362.34 is: 540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.71 : 563.27 = 362.34 : x
  2. Step 2: Convert to fraction form
    377.71/563.27 = 362.34/x
  3. Step 3: Cross multiply
    377.71x = 563.27 × 362.34
  4. Step 4: Simplify right side
    377.71x = 204,091.57
  5. Step 5: Solve for x
    x = 204,091.57/377.71
  6. Step 6: Final answer
    x = 540.33

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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.