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Finding the Fourth Proportional to 375.20, 517.84 and 264.56

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Solution

The fourth proportional to 375.20, 517.84 and 264.56 is: 365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 517.84 = 264.56 : x
  2. Step 2: Convert to fraction form
    375.20/517.84 = 264.56/x
  3. Step 3: Cross multiply
    375.20x = 517.84 × 264.56
  4. Step 4: Simplify right side
    375.20x = 136,999.75
  5. Step 5: Solve for x
    x = 136,999.75/375.20
  6. Step 6: Final answer
    x = 365.14

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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.