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Finding the Fourth Proportional to 533.22, 734.86 and 355.86

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Solution

The fourth proportional to 533.22, 734.86 and 355.86 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.22 : 734.86 = 355.86 : x
  2. Step 2: Convert to fraction form
    533.22/734.86 = 355.86/x
  3. Step 3: Cross multiply
    533.22x = 734.86 × 355.86
  4. Step 4: Simplify right side
    533.22x = 261,507.28
  5. Step 5: Solve for x
    x = 261,507.28/533.22
  6. Step 6: Final answer
    x = 490.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.