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Finding the Fourth Proportional to 533.67, 736.08 and 394.25

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Solution

The fourth proportional to 533.67, 736.08 and 394.25 is: 543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.67 : 736.08 = 394.25 : x
  2. Step 2: Convert to fraction form
    533.67/736.08 = 394.25/x
  3. Step 3: Cross multiply
    533.67x = 736.08 × 394.25
  4. Step 4: Simplify right side
    533.67x = 290,195.86
  5. Step 5: Solve for x
    x = 290,195.86/533.67
  6. Step 6: Final answer
    x = 543.77

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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.