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Finding the Fourth Proportional to 529.85, 794.31 and 182.94

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Solution

The fourth proportional to 529.85, 794.31 and 182.94 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.85 : 794.31 = 182.94 : x
  2. Step 2: Convert to fraction form
    529.85/794.31 = 182.94/x
  3. Step 3: Cross multiply
    529.85x = 794.31 × 182.94
  4. Step 4: Simplify right side
    529.85x = 145,311.87
  5. Step 5: Solve for x
    x = 145,311.87/529.85
  6. Step 6: Final answer
    x = 274.25

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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.