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Finding the Fourth Proportional to 375.03, 517.54 and 209.24

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Solution

The fourth proportional to 375.03, 517.54 and 209.24 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.03 : 517.54 = 209.24 : x
  2. Step 2: Convert to fraction form
    375.03/517.54 = 209.24/x
  3. Step 3: Cross multiply
    375.03x = 517.54 × 209.24
  4. Step 4: Simplify right side
    375.03x = 108,291.63
  5. Step 5: Solve for x
    x = 108,291.63/375.03
  6. Step 6: Final answer
    x = 288.75

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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.