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Finding the Fourth Proportional to 375.07, 517.57 and 209.29

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Solution

The fourth proportional to 375.07, 517.57 and 209.29 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.07 : 517.57 = 209.29 : x
  2. Step 2: Convert to fraction form
    375.07/517.57 = 209.29/x
  3. Step 3: Cross multiply
    375.07x = 517.57 × 209.29
  4. Step 4: Simplify right side
    375.07x = 108,322.23
  5. Step 5: Solve for x
    x = 108,322.23/375.07
  6. Step 6: Final answer
    x = 288.81

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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.