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Finding the Fourth Proportional to 534.31, 800.65 and 396.71

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Solution

The fourth proportional to 534.31, 800.65 and 396.71 is: 594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 800.65 = 396.71 : x
  2. Step 2: Convert to fraction form
    534.31/800.65 = 396.71/x
  3. Step 3: Cross multiply
    534.31x = 800.65 × 396.71
  4. Step 4: Simplify right side
    534.31x = 317,625.86
  5. Step 5: Solve for x
    x = 317,625.86/534.31
  6. Step 6: Final answer
    x = 594.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.