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Finding the Fourth Proportional to 375.12, 517.62 and 209.28

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Solution

The fourth proportional to 375.12, 517.62 and 209.28 is: 288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 517.62 = 209.28 : x
  2. Step 2: Convert to fraction form
    375.12/517.62 = 209.28/x
  3. Step 3: Cross multiply
    375.12x = 517.62 × 209.28
  4. Step 4: Simplify right side
    375.12x = 108,327.51
  5. Step 5: Solve for x
    x = 108,327.51/375.12
  6. Step 6: Final answer
    x = 288.78

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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.