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Finding the Fourth Proportional to 537.44, 809.88 and 537.44

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Solution

The fourth proportional to 537.44, 809.88 and 537.44 is: 809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.44 : 809.88 = 537.44 : x
  2. Step 2: Convert to fraction form
    537.44/809.88 = 537.44/x
  3. Step 3: Cross multiply
    537.44x = 809.88 × 537.44
  4. Step 4: Simplify right side
    537.44x = 435,261.91
  5. Step 5: Solve for x
    x = 435,261.91/537.44
  6. Step 6: Final answer
    x = 809.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.