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Finding the Fourth Proportional to 352.99, 487.01 and 205.57

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Solution

The fourth proportional to 352.99, 487.01 and 205.57 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.99 : 487.01 = 205.57 : x
  2. Step 2: Convert to fraction form
    352.99/487.01 = 205.57/x
  3. Step 3: Cross multiply
    352.99x = 487.01 × 205.57
  4. Step 4: Simplify right side
    352.99x = 100,111.18
  5. Step 5: Solve for x
    x = 100,111.18/352.99
  6. Step 6: Final answer
    x = 283.61

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