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Finding the Fourth Proportional to 534.53, 801.09 and 396.50

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Solution

The fourth proportional to 534.53, 801.09 and 396.50 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.53 : 801.09 = 396.50 : x
  2. Step 2: Convert to fraction form
    534.53/801.09 = 396.50/x
  3. Step 3: Cross multiply
    534.53x = 801.09 × 396.50
  4. Step 4: Simplify right side
    534.53x = 317,628.18
  5. Step 5: Solve for x
    x = 317,628.18/534.53
  6. Step 6: Final answer
    x = 594.22

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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.