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Finding the Fourth Proportional to 533.50, 800.52 and 209.50

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Solution

The fourth proportional to 533.50, 800.52 and 209.50 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 800.52 = 209.50 : x
  2. Step 2: Convert to fraction form
    533.50/800.52 = 209.50/x
  3. Step 3: Cross multiply
    533.50x = 800.52 × 209.50
  4. Step 4: Simplify right side
    533.50x = 167,708.94
  5. Step 5: Solve for x
    x = 167,708.94/533.50
  6. Step 6: Final answer
    x = 314.36

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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.