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Finding the Fourth Proportional to 533.28, 799.48 and 208.64

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Solution

The fourth proportional to 533.28, 799.48 and 208.64 is: 312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.28 : 799.48 = 208.64 : x
  2. Step 2: Convert to fraction form
    533.28/799.48 = 208.64/x
  3. Step 3: Cross multiply
    533.28x = 799.48 × 208.64
  4. Step 4: Simplify right side
    533.28x = 166,803.51
  5. Step 5: Solve for x
    x = 166,803.51/533.28
  6. Step 6: Final answer
    x = 312.79

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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.