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Finding the Fourth Proportional to 528.45, 792.78 and 268.25

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Solution

The fourth proportional to 528.45, 792.78 and 268.25 is: 402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.45 : 792.78 = 268.25 : x
  2. Step 2: Convert to fraction form
    528.45/792.78 = 268.25/x
  3. Step 3: Cross multiply
    528.45x = 792.78 × 268.25
  4. Step 4: Simplify right side
    528.45x = 212,659.27
  5. Step 5: Solve for x
    x = 212,659.27/528.45
  6. Step 6: Final answer
    x = 402.42

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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.