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Finding the Fourth Proportional to 352.07, 485.90 and 204.70

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Solution

The fourth proportional to 352.07, 485.90 and 204.70 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.07 : 485.90 = 204.70 : x
  2. Step 2: Convert to fraction form
    352.07/485.90 = 204.70/x
  3. Step 3: Cross multiply
    352.07x = 485.90 × 204.70
  4. Step 4: Simplify right side
    352.07x = 99,464.11
  5. Step 5: Solve for x
    x = 99,464.11/352.07
  6. Step 6: Final answer
    x = 282.51

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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.