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Finding the Fourth Proportional to 533.34, 799.98 and 208.80

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Solution

The fourth proportional to 533.34, 799.98 and 208.80 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.34 : 799.98 = 208.80 : x
  2. Step 2: Convert to fraction form
    533.34/799.98 = 208.80/x
  3. Step 3: Cross multiply
    533.34x = 799.98 × 208.80
  4. Step 4: Simplify right side
    533.34x = 167,035.82
  5. Step 5: Solve for x
    x = 167,035.82/533.34
  6. Step 6: Final answer
    x = 313.19

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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.