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Finding the Fourth Proportional to 380.12, 569.72 and 225.71

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Solution

The fourth proportional to 380.12, 569.72 and 225.71 is: 338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 569.72 = 225.71 : x
  2. Step 2: Convert to fraction form
    380.12/569.72 = 225.71/x
  3. Step 3: Cross multiply
    380.12x = 569.72 × 225.71
  4. Step 4: Simplify right side
    380.12x = 128,591.22
  5. Step 5: Solve for x
    x = 128,591.22/380.12
  6. Step 6: Final answer
    x = 338.29

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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.