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Finding the Fourth Proportional to 552.92, 828.90 and 296.12

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Solution

The fourth proportional to 552.92, 828.90 and 296.12 is: 443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.92 : 828.90 = 296.12 : x
  2. Step 2: Convert to fraction form
    552.92/828.90 = 296.12/x
  3. Step 3: Cross multiply
    552.92x = 828.90 × 296.12
  4. Step 4: Simplify right side
    552.92x = 245,453.87
  5. Step 5: Solve for x
    x = 245,453.87/552.92
  6. Step 6: Final answer
    x = 443.92

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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.