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Finding the Fourth Proportional to 528.52, 792.80 and 220.40

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Solution

The fourth proportional to 528.52, 792.80 and 220.40 is: 330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.52 : 792.80 = 220.40 : x
  2. Step 2: Convert to fraction form
    528.52/792.80 = 220.40/x
  3. Step 3: Cross multiply
    528.52x = 792.80 × 220.40
  4. Step 4: Simplify right side
    528.52x = 174,733.12
  5. Step 5: Solve for x
    x = 174,733.12/528.52
  6. Step 6: Final answer
    x = 330.61

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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.