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Finding the Fourth Proportional to 533.77, 799.85 and 504.15

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Solution

The fourth proportional to 533.77, 799.85 and 504.15 is: 755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 799.85 = 504.15 : x
  2. Step 2: Convert to fraction form
    533.77/799.85 = 504.15/x
  3. Step 3: Cross multiply
    533.77x = 799.85 × 504.15
  4. Step 4: Simplify right side
    533.77x = 403,244.38
  5. Step 5: Solve for x
    x = 403,244.38/533.77
  6. Step 6: Final answer
    x = 755.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.