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Finding the Fourth Proportional to 534.87, 799.54 and 396.63

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Solution

The fourth proportional to 534.87, 799.54 and 396.63 is: 592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 799.54 = 396.63 : x
  2. Step 2: Convert to fraction form
    534.87/799.54 = 396.63/x
  3. Step 3: Cross multiply
    534.87x = 799.54 × 396.63
  4. Step 4: Simplify right side
    534.87x = 317,120.56
  5. Step 5: Solve for x
    x = 317,120.56/534.87
  6. Step 6: Final answer
    x = 592.89

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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.