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Finding the Fourth Proportional to 533.46, 798.12 and 467.94

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Solution

The fourth proportional to 533.46, 798.12 and 467.94 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 798.12 = 467.94 : x
  2. Step 2: Convert to fraction form
    533.46/798.12 = 467.94/x
  3. Step 3: Cross multiply
    533.46x = 798.12 × 467.94
  4. Step 4: Simplify right side
    533.46x = 373,472.27
  5. Step 5: Solve for x
    x = 373,472.27/533.46
  6. Step 6: Final answer
    x = 700.09

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Why These Related Problems?

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