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Finding the Fourth Proportional to 533.17, 735.77 and 300.30

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Solution

The fourth proportional to 533.17, 735.77 and 300.30 is: 414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.17 : 735.77 = 300.30 : x
  2. Step 2: Convert to fraction form
    533.17/735.77 = 300.30/x
  3. Step 3: Cross multiply
    533.17x = 735.77 × 300.30
  4. Step 4: Simplify right side
    533.17x = 220,951.73
  5. Step 5: Solve for x
    x = 220,951.73/533.17
  6. Step 6: Final answer
    x = 414.41

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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.