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Finding the Fourth Proportional to 529.26, 793.91 and 164.29

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Solution

The fourth proportional to 529.26, 793.91 and 164.29 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 793.91 = 164.29 : x
  2. Step 2: Convert to fraction form
    529.26/793.91 = 164.29/x
  3. Step 3: Cross multiply
    529.26x = 793.91 × 164.29
  4. Step 4: Simplify right side
    529.26x = 130,431.47
  5. Step 5: Solve for x
    x = 130,431.47/529.26
  6. Step 6: Final answer
    x = 246.44

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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.