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Finding the Fourth Proportional to 528.60, 792.74 and 203.78

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Solution

The fourth proportional to 528.60, 792.74 and 203.78 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.60 : 792.74 = 203.78 : x
  2. Step 2: Convert to fraction form
    528.60/792.74 = 203.78/x
  3. Step 3: Cross multiply
    528.60x = 792.74 × 203.78
  4. Step 4: Simplify right side
    528.60x = 161,544.56
  5. Step 5: Solve for x
    x = 161,544.56/528.60
  6. Step 6: Final answer
    x = 305.61

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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.