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Finding the Fourth Proportional to 533.62, 799.71 and 470.26

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Solution

The fourth proportional to 533.62, 799.71 and 470.26 is: 704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 799.71 = 470.26 : x
  2. Step 2: Convert to fraction form
    533.62/799.71 = 470.26/x
  3. Step 3: Cross multiply
    533.62x = 799.71 × 470.26
  4. Step 4: Simplify right side
    533.62x = 376,071.62
  5. Step 5: Solve for x
    x = 376,071.62/533.62
  6. Step 6: Final answer
    x = 704.76

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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.