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Finding the Fourth Proportional to 538.35, 743.31 and 372.28

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Solution

The fourth proportional to 538.35, 743.31 and 372.28 is: 514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.35 : 743.31 = 372.28 : x
  2. Step 2: Convert to fraction form
    538.35/743.31 = 372.28/x
  3. Step 3: Cross multiply
    538.35x = 743.31 × 372.28
  4. Step 4: Simplify right side
    538.35x = 276,717.94
  5. Step 5: Solve for x
    x = 276,717.94/538.35
  6. Step 6: Final answer
    x = 514.01

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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.