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Finding the Fourth Proportional to 533.50, 800.57 and 225.33

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Solution

The fourth proportional to 533.50, 800.57 and 225.33 is: 338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 800.57 = 225.33 : x
  2. Step 2: Convert to fraction form
    533.50/800.57 = 225.33/x
  3. Step 3: Cross multiply
    533.50x = 800.57 × 225.33
  4. Step 4: Simplify right side
    533.50x = 180,393.31
  5. Step 5: Solve for x
    x = 180,393.31/533.50
  6. Step 6: Final answer
    x = 338.13

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1.5x scale

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.