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Finding the Fourth Proportional to 533.43, 735.62 and 386.19

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Solution

The fourth proportional to 533.43, 735.62 and 386.19 is: 532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.43 : 735.62 = 386.19 : x
  2. Step 2: Convert to fraction form
    533.43/735.62 = 386.19/x
  3. Step 3: Cross multiply
    533.43x = 735.62 × 386.19
  4. Step 4: Simplify right side
    533.43x = 284,087.16
  5. Step 5: Solve for x
    x = 284,087.16/533.43
  6. Step 6: Final answer
    x = 532.57

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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.