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Finding the Fourth Proportional to 528.39, 792.72 and 203.78

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Solution

The fourth proportional to 528.39, 792.72 and 203.78 is: 305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.39 : 792.72 = 203.78 : x
  2. Step 2: Convert to fraction form
    528.39/792.72 = 203.78/x
  3. Step 3: Cross multiply
    528.39x = 792.72 × 203.78
  4. Step 4: Simplify right side
    528.39x = 161,542.46
  5. Step 5: Solve for x
    x = 161,542.46/528.39
  6. Step 6: Final answer
    x = 305.73

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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.