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Finding the Fourth Proportional to 529.02, 793.63 and 163.73

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Solution

The fourth proportional to 529.02, 793.63 and 163.73 is: 245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 793.63 = 163.73 : x
  2. Step 2: Convert to fraction form
    529.02/793.63 = 163.73/x
  3. Step 3: Cross multiply
    529.02x = 793.63 × 163.73
  4. Step 4: Simplify right side
    529.02x = 129,941.04
  5. Step 5: Solve for x
    x = 129,941.04/529.02
  6. Step 6: Final answer
    x = 245.63

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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.