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Finding the Fourth Proportional to 528.38, 792.54 and 447.08

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Solution

The fourth proportional to 528.38, 792.54 and 447.08 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.38 : 792.54 = 447.08 : x
  2. Step 2: Convert to fraction form
    528.38/792.54 = 447.08/x
  3. Step 3: Cross multiply
    528.38x = 792.54 × 447.08
  4. Step 4: Simplify right side
    528.38x = 354,328.78
  5. Step 5: Solve for x
    x = 354,328.78/528.38
  6. Step 6: Final answer
    x = 670.59

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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.