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Finding the Fourth Proportional to 528.48, 792.24 and 384.48

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Solution

The fourth proportional to 528.48, 792.24 and 384.48 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 792.24 = 384.48 : x
  2. Step 2: Convert to fraction form
    528.48/792.24 = 384.48/x
  3. Step 3: Cross multiply
    528.48x = 792.24 × 384.48
  4. Step 4: Simplify right side
    528.48x = 304,600.44
  5. Step 5: Solve for x
    x = 304,600.44/528.48
  6. Step 6: Final answer
    x = 576.37

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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.