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Finding the Fourth Proportional to 534, 737.10 and 379.20

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Solution

The fourth proportional to 534, 737.10 and 379.20 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534 : 737.10 = 379.20 : x
  2. Step 2: Convert to fraction form
    534/737.10 = 379.20/x
  3. Step 3: Cross multiply
    534x = 737.10 × 379.20
  4. Step 4: Simplify right side
    534x = 279,508.32
  5. Step 5: Solve for x
    x = 279,508.32/534
  6. Step 6: Final answer
    x = 523.42

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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.