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Finding the Fourth Proportional to 375.44, 517.80 and 265.28

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Solution

The fourth proportional to 375.44, 517.80 and 265.28 is: 365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 517.80 = 265.28 : x
  2. Step 2: Convert to fraction form
    375.44/517.80 = 265.28/x
  3. Step 3: Cross multiply
    375.44x = 517.80 × 265.28
  4. Step 4: Simplify right side
    375.44x = 137,361.98
  5. Step 5: Solve for x
    x = 137,361.98/375.44
  6. Step 6: Final answer
    x = 365.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.