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Finding the Fourth Proportional to 533.70, 736.50 and 300.83

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Solution

The fourth proportional to 533.70, 736.50 and 300.83 is: 415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 736.50 = 300.83 : x
  2. Step 2: Convert to fraction form
    533.70/736.50 = 300.83/x
  3. Step 3: Cross multiply
    533.70x = 736.50 × 300.83
  4. Step 4: Simplify right side
    533.70x = 221,557.61
  5. Step 5: Solve for x
    x = 221,557.61/533.70
  6. Step 6: Final answer
    x = 415.14

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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.