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Finding the Fourth Proportional to 375.00, 517.50 and 209.20

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Solution

The fourth proportional to 375.00, 517.50 and 209.20 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.00 : 517.50 = 209.20 : x
  2. Step 2: Convert to fraction form
    375.00/517.50 = 209.20/x
  3. Step 3: Cross multiply
    375.00x = 517.50 × 209.20
  4. Step 4: Simplify right side
    375.00x = 108,262.08
  5. Step 5: Solve for x
    x = 108,262.08/375.00
  6. Step 6: Final answer
    x = 288.70

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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.