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Finding the Fourth Proportional to 533.17, 801.58 and 431.21

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Solution

The fourth proportional to 533.17, 801.58 and 431.21 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.17 : 801.58 = 431.21 : x
  2. Step 2: Convert to fraction form
    533.17/801.58 = 431.21/x
  3. Step 3: Cross multiply
    533.17x = 801.58 × 431.21
  4. Step 4: Simplify right side
    533.17x = 345,649.31
  5. Step 5: Solve for x
    x = 345,649.31/533.17
  6. Step 6: Final answer
    x = 648.29

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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.