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Finding the Fourth Proportional to 534.82, 738.21 and 338.47

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Solution

The fourth proportional to 534.82, 738.21 and 338.47 is: 467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.82 : 738.21 = 338.47 : x
  2. Step 2: Convert to fraction form
    534.82/738.21 = 338.47/x
  3. Step 3: Cross multiply
    534.82x = 738.21 × 338.47
  4. Step 4: Simplify right side
    534.82x = 249,861.94
  5. Step 5: Solve for x
    x = 249,861.94/534.82
  6. Step 6: Final answer
    x = 467.19

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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.