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Finding the Fourth Proportional to 533.48, 800.48 and 225.52

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Solution

The fourth proportional to 533.48, 800.48 and 225.52 is: 338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.48 : 800.48 = 225.52 : x
  2. Step 2: Convert to fraction form
    533.48/800.48 = 225.52/x
  3. Step 3: Cross multiply
    533.48x = 800.48 × 225.52
  4. Step 4: Simplify right side
    533.48x = 180,524.25
  5. Step 5: Solve for x
    x = 180,524.25/533.48
  6. Step 6: Final answer
    x = 338.39

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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.