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Finding the Fourth Proportional to 352.84, 486.83 and 213.04

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Solution

The fourth proportional to 352.84, 486.83 and 213.04 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.84 : 486.83 = 213.04 : x
  2. Step 2: Convert to fraction form
    352.84/486.83 = 213.04/x
  3. Step 3: Cross multiply
    352.84x = 486.83 × 213.04
  4. Step 4: Simplify right side
    352.84x = 103,711.47
  5. Step 5: Solve for x
    x = 103,711.47/352.84
  6. Step 6: Final answer
    x = 293.93

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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.