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Finding the Fourth Proportional to 528.82, 793.35 and 204.19

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Solution

The fourth proportional to 528.82, 793.35 and 204.19 is: 306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.82 : 793.35 = 204.19 : x
  2. Step 2: Convert to fraction form
    528.82/793.35 = 204.19/x
  3. Step 3: Cross multiply
    528.82x = 793.35 × 204.19
  4. Step 4: Simplify right side
    528.82x = 161,992.15
  5. Step 5: Solve for x
    x = 161,992.15/528.82
  6. Step 6: Final answer
    x = 306.33

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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.