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Finding the Fourth Proportional to 552.92, 829.70 and 223.92

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Solution

The fourth proportional to 552.92, 829.70 and 223.92 is: 336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.92 : 829.70 = 223.92 : x
  2. Step 2: Convert to fraction form
    552.92/829.70 = 223.92/x
  3. Step 3: Cross multiply
    552.92x = 829.70 × 223.92
  4. Step 4: Simplify right side
    552.92x = 185,789.11
  5. Step 5: Solve for x
    x = 185,789.11/552.92
  6. Step 6: Final answer
    x = 336.02

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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.