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Finding the Fourth Proportional to 533.97, 736.22 and 386.55

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Solution

The fourth proportional to 533.97, 736.22 and 386.55 is: 532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 736.22 = 386.55 : x
  2. Step 2: Convert to fraction form
    533.97/736.22 = 386.55/x
  3. Step 3: Cross multiply
    533.97x = 736.22 × 386.55
  4. Step 4: Simplify right side
    533.97x = 284,586.81
  5. Step 5: Solve for x
    x = 284,586.81/533.97
  6. Step 6: Final answer
    x = 532.96

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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.