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Finding the Fourth Proportional to 534.90, 738.36 and 338.70

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Solution

The fourth proportional to 534.90, 738.36 and 338.70 is: 467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.90 : 738.36 = 338.70 : x
  2. Step 2: Convert to fraction form
    534.90/738.36 = 338.70/x
  3. Step 3: Cross multiply
    534.90x = 738.36 × 338.70
  4. Step 4: Simplify right side
    534.90x = 250,082.53
  5. Step 5: Solve for x
    x = 250,082.53/534.90
  6. Step 6: Final answer
    x = 467.53

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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.