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Finding the Fourth Proportional to 374.89, 517.35 and 209.10

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Solution

The fourth proportional to 374.89, 517.35 and 209.10 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.89 : 517.35 = 209.10 : x
  2. Step 2: Convert to fraction form
    374.89/517.35 = 209.10/x
  3. Step 3: Cross multiply
    374.89x = 517.35 × 209.10
  4. Step 4: Simplify right side
    374.89x = 108,178.66
  5. Step 5: Solve for x
    x = 108,178.66/374.89
  6. Step 6: Final answer
    x = 288.56

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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.