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Finding the Fourth Proportional to 352.14, 524.94 and 326.22

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Solution

The fourth proportional to 352.14, 524.94 and 326.22 is: 486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.14 : 524.94 = 326.22 : x
  2. Step 2: Convert to fraction form
    352.14/524.94 = 326.22/x
  3. Step 3: Cross multiply
    352.14x = 524.94 × 326.22
  4. Step 4: Simplify right side
    352.14x = 171,245.93
  5. Step 5: Solve for x
    x = 171,245.93/352.14
  6. Step 6: Final answer
    x = 486.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.