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Finding the Fourth Proportional to 533.81, 800.84 and 209.18

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Solution

The fourth proportional to 533.81, 800.84 and 209.18 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 800.84 = 209.18 : x
  2. Step 2: Convert to fraction form
    533.81/800.84 = 209.18/x
  3. Step 3: Cross multiply
    533.81x = 800.84 × 209.18
  4. Step 4: Simplify right side
    533.81x = 167,519.71
  5. Step 5: Solve for x
    x = 167,519.71/533.81
  6. Step 6: Final answer
    x = 313.82

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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.