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Finding the Fourth Proportional to 528.96, 793.84 and 204.42

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Solution

The fourth proportional to 528.96, 793.84 and 204.42 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 793.84 = 204.42 : x
  2. Step 2: Convert to fraction form
    528.96/793.84 = 204.42/x
  3. Step 3: Cross multiply
    528.96x = 793.84 × 204.42
  4. Step 4: Simplify right side
    528.96x = 162,276.77
  5. Step 5: Solve for x
    x = 162,276.77/528.96
  6. Step 6: Final answer
    x = 306.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.