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Finding the Fourth Proportional to 529.37, 794.15 and 182.73

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Solution

The fourth proportional to 529.37, 794.15 and 182.73 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.37 : 794.15 = 182.73 : x
  2. Step 2: Convert to fraction form
    529.37/794.15 = 182.73/x
  3. Step 3: Cross multiply
    529.37x = 794.15 × 182.73
  4. Step 4: Simplify right side
    529.37x = 145,114.12
  5. Step 5: Solve for x
    x = 145,114.12/529.37
  6. Step 6: Final answer
    x = 274.13

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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.