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Finding the Fourth Proportional to 538.50, 807.84 and 209.42

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Solution

The fourth proportional to 538.50, 807.84 and 209.42 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 807.84 = 209.42 : x
  2. Step 2: Convert to fraction form
    538.50/807.84 = 209.42/x
  3. Step 3: Cross multiply
    538.50x = 807.84 × 209.42
  4. Step 4: Simplify right side
    538.50x = 169,177.85
  5. Step 5: Solve for x
    x = 169,177.85/538.50
  6. Step 6: Final answer
    x = 314.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.