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Finding the Fourth Proportional to 528.96, 792.96 and 401.28

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Solution

The fourth proportional to 528.96, 792.96 and 401.28 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.96 : 792.96 = 401.28 : x
  2. Step 2: Convert to fraction form
    528.96/792.96 = 401.28/x
  3. Step 3: Cross multiply
    528.96x = 792.96 × 401.28
  4. Step 4: Simplify right side
    528.96x = 318,198.99
  5. Step 5: Solve for x
    x = 318,198.99/528.96
  6. Step 6: Final answer
    x = 601.56

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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.