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Finding the Fourth Proportional to 534.80, 773.30 and 534.80

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Solution

The fourth proportional to 534.80, 773.30 and 534.80 is: 773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.80 : 773.30 = 534.80 : x
  2. Step 2: Convert to fraction form
    534.80/773.30 = 534.80/x
  3. Step 3: Cross multiply
    534.80x = 773.30 × 534.80
  4. Step 4: Simplify right side
    534.80x = 413,560.84
  5. Step 5: Solve for x
    x = 413,560.84/534.80
  6. Step 6: Final answer
    x = 773.30

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.