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Finding the Fourth Proportional to 533.72, 800.11 and 209.02

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Solution

The fourth proportional to 533.72, 800.11 and 209.02 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 800.11 = 209.02 : x
  2. Step 2: Convert to fraction form
    533.72/800.11 = 209.02/x
  3. Step 3: Cross multiply
    533.72x = 800.11 × 209.02
  4. Step 4: Simplify right side
    533.72x = 167,233.95
  5. Step 5: Solve for x
    x = 167,233.95/533.72
  6. Step 6: Final answer
    x = 313.34

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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.