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Finding the Fourth Proportional to 534.38, 736.97 and 416.12

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Solution

The fourth proportional to 534.38, 736.97 and 416.12 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.38 : 736.97 = 416.12 : x
  2. Step 2: Convert to fraction form
    534.38/736.97 = 416.12/x
  3. Step 3: Cross multiply
    534.38x = 736.97 × 416.12
  4. Step 4: Simplify right side
    534.38x = 306,662.19
  5. Step 5: Solve for x
    x = 306,662.19/534.38
  6. Step 6: Final answer
    x = 573.87

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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.