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Finding the Fourth Proportional to 533.80, 799.63 and 424.29

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Solution

The fourth proportional to 533.80, 799.63 and 424.29 is: 635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 799.63 = 424.29 : x
  2. Step 2: Convert to fraction form
    533.80/799.63 = 424.29/x
  3. Step 3: Cross multiply
    533.80x = 799.63 × 424.29
  4. Step 4: Simplify right side
    533.80x = 339,275.01
  5. Step 5: Solve for x
    x = 339,275.01/533.80
  6. Step 6: Final answer
    x = 635.58

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