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Finding the Fourth Proportional to 528.23, 792.19 and 381.52

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Solution

The fourth proportional to 528.23, 792.19 and 381.52 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 792.19 = 381.52 : x
  2. Step 2: Convert to fraction form
    528.23/792.19 = 381.52/x
  3. Step 3: Cross multiply
    528.23x = 792.19 × 381.52
  4. Step 4: Simplify right side
    528.23x = 302,236.33
  5. Step 5: Solve for x
    x = 302,236.33/528.23
  6. Step 6: Final answer
    x = 572.17

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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.