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Finding the Fourth Proportional to 533.70, 801.23 and 379.71

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Solution

The fourth proportional to 533.70, 801.23 and 379.71 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.70 : 801.23 = 379.71 : x
  2. Step 2: Convert to fraction form
    533.70/801.23 = 379.71/x
  3. Step 3: Cross multiply
    533.70x = 801.23 × 379.71
  4. Step 4: Simplify right side
    533.70x = 304,233.14
  5. Step 5: Solve for x
    x = 304,233.14/533.70
  6. Step 6: Final answer
    x = 570.05

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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.