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Finding the Fourth Proportional to 533.95, 796.36 and 490.21

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Solution

The fourth proportional to 533.95, 796.36 and 490.21 is: 731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.95 : 796.36 = 490.21 : x
  2. Step 2: Convert to fraction form
    533.95/796.36 = 490.21/x
  3. Step 3: Cross multiply
    533.95x = 796.36 × 490.21
  4. Step 4: Simplify right side
    533.95x = 390,383.64
  5. Step 5: Solve for x
    x = 390,383.64/533.95
  6. Step 6: Final answer
    x = 731.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.