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Finding the Fourth Proportional to 534.12, 736.97 and 337.52

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Solution

The fourth proportional to 534.12, 736.97 and 337.52 is: 465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 736.97 = 337.52 : x
  2. Step 2: Convert to fraction form
    534.12/736.97 = 337.52/x
  3. Step 3: Cross multiply
    534.12x = 736.97 × 337.52
  4. Step 4: Simplify right side
    534.12x = 248,742.11
  5. Step 5: Solve for x
    x = 248,742.11/534.12
  6. Step 6: Final answer
    x = 465.71

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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.