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Finding the Fourth Proportional to 533.70, 799.20 and 290.34

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Solution

The fourth proportional to 533.70, 799.20 and 290.34 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 799.20 = 290.34 : x
  2. Step 2: Convert to fraction form
    533.70/799.20 = 290.34/x
  3. Step 3: Cross multiply
    533.70x = 799.20 × 290.34
  4. Step 4: Simplify right side
    533.70x = 232,039.73
  5. Step 5: Solve for x
    x = 232,039.73/533.70
  6. Step 6: Final answer
    x = 434.78

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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.