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Finding the Fourth Proportional to 352.94, 486.94 and 213.10

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Solution

The fourth proportional to 352.94, 486.94 and 213.10 is: 294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 486.94 = 213.10 : x
  2. Step 2: Convert to fraction form
    352.94/486.94 = 213.10/x
  3. Step 3: Cross multiply
    352.94x = 486.94 × 213.10
  4. Step 4: Simplify right side
    352.94x = 103,766.91
  5. Step 5: Solve for x
    x = 103,766.91/352.94
  6. Step 6: Final answer
    x = 294.01

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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.