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Finding the Fourth Proportional to 374.78, 517.22 and 209.00

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Solution

The fourth proportional to 374.78, 517.22 and 209.00 is: 288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.78 : 517.22 = 209.00 : x
  2. Step 2: Convert to fraction form
    374.78/517.22 = 209.00/x
  3. Step 3: Cross multiply
    374.78x = 517.22 × 209.00
  4. Step 4: Simplify right side
    374.78x = 108,095.35
  5. Step 5: Solve for x
    x = 108,095.35/374.78
  6. Step 6: Final answer
    x = 288.43

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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.