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Finding the Fourth Proportional to 533.64, 800.73 and 209.25

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Solution

The fourth proportional to 533.64, 800.73 and 209.25 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 800.73 = 209.25 : x
  2. Step 2: Convert to fraction form
    533.64/800.73 = 209.25/x
  3. Step 3: Cross multiply
    533.64x = 800.73 × 209.25
  4. Step 4: Simplify right side
    533.64x = 167,552.75
  5. Step 5: Solve for x
    x = 167,552.75/533.64
  6. Step 6: Final answer
    x = 313.98

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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.