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Finding the Fourth Proportional to 533.35, 800.01 and 225.04

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Solution

The fourth proportional to 533.35, 800.01 and 225.04 is: 337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.35 : 800.01 = 225.04 : x
  2. Step 2: Convert to fraction form
    533.35/800.01 = 225.04/x
  3. Step 3: Cross multiply
    533.35x = 800.01 × 225.04
  4. Step 4: Simplify right side
    533.35x = 180,033.13
  5. Step 5: Solve for x
    x = 180,033.13/533.35
  6. Step 6: Final answer
    x = 337.55

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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.