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Finding the Fourth Proportional to 528.72, 792.72 and 220.80

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Solution

The fourth proportional to 528.72, 792.72 and 220.80 is: 331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.72 : 792.72 = 220.80 : x
  2. Step 2: Convert to fraction form
    528.72/792.72 = 220.80/x
  3. Step 3: Cross multiply
    528.72x = 792.72 × 220.80
  4. Step 4: Simplify right side
    528.72x = 175,032.58
  5. Step 5: Solve for x
    x = 175,032.58/528.72
  6. Step 6: Final answer
    x = 331.05

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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.