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Finding the Fourth Proportional to 352.88, 486.97 and 214.88

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Solution

The fourth proportional to 352.88, 486.97 and 214.88 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.88 : 486.97 = 214.88 : x
  2. Step 2: Convert to fraction form
    352.88/486.97 = 214.88/x
  3. Step 3: Cross multiply
    352.88x = 486.97 × 214.88
  4. Step 4: Simplify right side
    352.88x = 104,637.14
  5. Step 5: Solve for x
    x = 104,637.14/352.88
  6. Step 6: Final answer
    x = 296.53

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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.