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Finding the Fourth Proportional to 533.84, 800.76 and 209.12

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Solution

The fourth proportional to 533.84, 800.76 and 209.12 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 800.76 = 209.12 : x
  2. Step 2: Convert to fraction form
    533.84/800.76 = 209.12/x
  3. Step 3: Cross multiply
    533.84x = 800.76 × 209.12
  4. Step 4: Simplify right side
    533.84x = 167,454.93
  5. Step 5: Solve for x
    x = 167,454.93/533.84
  6. Step 6: Final answer
    x = 313.68

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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.