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Finding the Fourth Proportional to 534, 737.10 and 327

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Solution

The fourth proportional to 534, 737.10 and 327 is: 451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534 : 737.10 = 327 : x
  2. Step 2: Convert to fraction form
    534/737.10 = 327/x
  3. Step 3: Cross multiply
    534x = 737.10 × 327
  4. Step 4: Simplify right side
    534x = 241,031.70
  5. Step 5: Solve for x
    x = 241,031.70/534
  6. Step 6: Final answer
    x = 451.37

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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.