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Finding the Fourth Proportional to 534.14, 797.98 and 523.34

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Solution

The fourth proportional to 534.14, 797.98 and 523.34 is: 781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 797.98 = 523.34 : x
  2. Step 2: Convert to fraction form
    534.14/797.98 = 523.34/x
  3. Step 3: Cross multiply
    534.14x = 797.98 × 523.34
  4. Step 4: Simplify right side
    534.14x = 417,614.85
  5. Step 5: Solve for x
    x = 417,614.85/534.14
  6. Step 6: Final answer
    x = 781.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.