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Finding the Fourth Proportional to 533.70, 748.80 and 533.70

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Solution

The fourth proportional to 533.70, 748.80 and 533.70 is: 748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 748.80 = 533.70 : x
  2. Step 2: Convert to fraction form
    533.70/748.80 = 533.70/x
  3. Step 3: Cross multiply
    533.70x = 748.80 × 533.70
  4. Step 4: Simplify right side
    533.70x = 399,634.56
  5. Step 5: Solve for x
    x = 399,634.56/533.70
  6. Step 6: Final answer
    x = 748.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.