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Finding the Fourth Proportional to 380.97, 572.00 and 250.56

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Solution

The fourth proportional to 380.97, 572.00 and 250.56 is: 376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 572.00 = 250.56 : x
  2. Step 2: Convert to fraction form
    380.97/572.00 = 250.56/x
  3. Step 3: Cross multiply
    380.97x = 572.00 × 250.56
  4. Step 4: Simplify right side
    380.97x = 143,319.07
  5. Step 5: Solve for x
    x = 143,319.07/380.97
  6. Step 6: Final answer
    x = 376.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.