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Finding the Fourth Proportional to 533.74, 800.84 and 209.34

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Solution

The fourth proportional to 533.74, 800.84 and 209.34 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.74 : 800.84 = 209.34 : x
  2. Step 2: Convert to fraction form
    533.74/800.84 = 209.34/x
  3. Step 3: Cross multiply
    533.74x = 800.84 × 209.34
  4. Step 4: Simplify right side
    533.74x = 167,647.85
  5. Step 5: Solve for x
    x = 167,647.85/533.74
  6. Step 6: Final answer
    x = 314.10

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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.