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Finding the Fourth Proportional to 533.73, 735.83 and 440.13

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Solution

The fourth proportional to 533.73, 735.83 and 440.13 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.73 : 735.83 = 440.13 : x
  2. Step 2: Convert to fraction form
    533.73/735.83 = 440.13/x
  3. Step 3: Cross multiply
    533.73x = 735.83 × 440.13
  4. Step 4: Simplify right side
    533.73x = 323,858.66
  5. Step 5: Solve for x
    x = 323,858.66/533.73
  6. Step 6: Final answer
    x = 606.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.