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Finding the Fourth Proportional to 538.50, 808.86 and 512.28

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Solution

The fourth proportional to 538.50, 808.86 and 512.28 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 808.86 = 512.28 : x
  2. Step 2: Convert to fraction form
    538.50/808.86 = 512.28/x
  3. Step 3: Cross multiply
    538.50x = 808.86 × 512.28
  4. Step 4: Simplify right side
    538.50x = 414,362.80
  5. Step 5: Solve for x
    x = 414,362.80/538.50
  6. Step 6: Final answer
    x = 769.48

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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.