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Finding the Fourth Proportional to 533.75, 800.78 and 209.35

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Solution

The fourth proportional to 533.75, 800.78 and 209.35 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 800.78 = 209.35 : x
  2. Step 2: Convert to fraction form
    533.75/800.78 = 209.35/x
  3. Step 3: Cross multiply
    533.75x = 800.78 × 209.35
  4. Step 4: Simplify right side
    533.75x = 167,643.29
  5. Step 5: Solve for x
    x = 167,643.29/533.75
  6. Step 6: Final answer
    x = 314.09

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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.