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Finding the Fourth Proportional to 352.35, 486.09 and 263.97

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Solution

The fourth proportional to 352.35, 486.09 and 263.97 is: 364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.35 : 486.09 = 263.97 : x
  2. Step 2: Convert to fraction form
    352.35/486.09 = 263.97/x
  3. Step 3: Cross multiply
    352.35x = 486.09 × 263.97
  4. Step 4: Simplify right side
    352.35x = 128,313.18
  5. Step 5: Solve for x
    x = 128,313.18/352.35
  6. Step 6: Final answer
    x = 364.16

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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.