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Finding the Fourth Proportional to 552.64, 762.96 and 356.44

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Solution

The fourth proportional to 552.64, 762.96 and 356.44 is: 492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.64 : 762.96 = 356.44 : x
  2. Step 2: Convert to fraction form
    552.64/762.96 = 356.44/x
  3. Step 3: Cross multiply
    552.64x = 762.96 × 356.44
  4. Step 4: Simplify right side
    552.64x = 271,949.46
  5. Step 5: Solve for x
    x = 271,949.46/552.64
  6. Step 6: Final answer
    x = 492.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.