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Finding the Fourth Proportional to 533.70, 796.30 and 455.81

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Solution

The fourth proportional to 533.70, 796.30 and 455.81 is: 680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 796.30 = 455.81 : x
  2. Step 2: Convert to fraction form
    533.70/796.30 = 455.81/x
  3. Step 3: Cross multiply
    533.70x = 796.30 × 455.81
  4. Step 4: Simplify right side
    533.70x = 362,956.38
  5. Step 5: Solve for x
    x = 362,956.38/533.70
  6. Step 6: Final answer
    x = 680.08

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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.