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Finding the Fourth Proportional to 529.50, 793.94 and 182.76

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Solution

The fourth proportional to 529.50, 793.94 and 182.76 is: 274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 793.94 = 182.76 : x
  2. Step 2: Convert to fraction form
    529.50/793.94 = 182.76/x
  3. Step 3: Cross multiply
    529.50x = 793.94 × 182.76
  4. Step 4: Simplify right side
    529.50x = 145,100.47
  5. Step 5: Solve for x
    x = 145,100.47/529.50
  6. Step 6: Final answer
    x = 274.03

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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.