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Finding the Fourth Proportional to 528.74, 793.20 and 199.66

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Solution

The fourth proportional to 528.74, 793.20 and 199.66 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.74 : 793.20 = 199.66 : x
  2. Step 2: Convert to fraction form
    528.74/793.20 = 199.66/x
  3. Step 3: Cross multiply
    528.74x = 793.20 × 199.66
  4. Step 4: Simplify right side
    528.74x = 158,370.31
  5. Step 5: Solve for x
    x = 158,370.31/528.74
  6. Step 6: Final answer
    x = 299.52

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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.