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Finding the Fourth Proportional to 528.21, 792.09 and 523.17

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Solution

The fourth proportional to 528.21, 792.09 and 523.17 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.21 : 792.09 = 523.17 : x
  2. Step 2: Convert to fraction form
    528.21/792.09 = 523.17/x
  3. Step 3: Cross multiply
    528.21x = 792.09 × 523.17
  4. Step 4: Simplify right side
    528.21x = 414,397.73
  5. Step 5: Solve for x
    x = 414,397.73/528.21
  6. Step 6: Final answer
    x = 784.53

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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.