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Finding the Fourth Proportional to 533.37, 800.16 and 208.77

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Solution

The fourth proportional to 533.37, 800.16 and 208.77 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.37 : 800.16 = 208.77 : x
  2. Step 2: Convert to fraction form
    533.37/800.16 = 208.77/x
  3. Step 3: Cross multiply
    533.37x = 800.16 × 208.77
  4. Step 4: Simplify right side
    533.37x = 167,049.40
  5. Step 5: Solve for x
    x = 167,049.40/533.37
  6. Step 6: Final answer
    x = 313.20

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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.