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Finding the Fourth Proportional to 534.70, 738.21 and 422.38

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Solution

The fourth proportional to 534.70, 738.21 and 422.38 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 738.21 = 422.38 : x
  2. Step 2: Convert to fraction form
    534.70/738.21 = 422.38/x
  3. Step 3: Cross multiply
    534.70x = 738.21 × 422.38
  4. Step 4: Simplify right side
    534.70x = 311,805.14
  5. Step 5: Solve for x
    x = 311,805.14/534.70
  6. Step 6: Final answer
    x = 583.14

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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.