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Finding the Fourth Proportional to 352.10, 485.96 and 204.77

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Solution

The fourth proportional to 352.10, 485.96 and 204.77 is: 282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.10 : 485.96 = 204.77 : x
  2. Step 2: Convert to fraction form
    352.10/485.96 = 204.77/x
  3. Step 3: Cross multiply
    352.10x = 485.96 × 204.77
  4. Step 4: Simplify right side
    352.10x = 99,510.03
  5. Step 5: Solve for x
    x = 99,510.03/352.10
  6. Step 6: Final answer
    x = 282.62

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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.