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Finding the Fourth Proportional to 528.80, 792.45 and 284.85

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Solution

The fourth proportional to 528.80, 792.45 and 284.85 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 792.45 = 284.85 : x
  2. Step 2: Convert to fraction form
    528.80/792.45 = 284.85/x
  3. Step 3: Cross multiply
    528.80x = 792.45 × 284.85
  4. Step 4: Simplify right side
    528.80x = 225,729.38
  5. Step 5: Solve for x
    x = 225,729.38/528.80
  6. Step 6: Final answer
    x = 426.88

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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.