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Finding the Fourth Proportional to 533.90, 799.22 and 316.82

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Solution

The fourth proportional to 533.90, 799.22 and 316.82 is: 474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.90 : 799.22 = 316.82 : x
  2. Step 2: Convert to fraction form
    533.90/799.22 = 316.82/x
  3. Step 3: Cross multiply
    533.90x = 799.22 × 316.82
  4. Step 4: Simplify right side
    533.90x = 253,208.88
  5. Step 5: Solve for x
    x = 253,208.88/533.90
  6. Step 6: Final answer
    x = 474.26

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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.