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Finding the Fourth Proportional to 352.79, 529.22 and 214.08

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Solution

The fourth proportional to 352.79, 529.22 and 214.08 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.79 : 529.22 = 214.08 : x
  2. Step 2: Convert to fraction form
    352.79/529.22 = 214.08/x
  3. Step 3: Cross multiply
    352.79x = 529.22 × 214.08
  4. Step 4: Simplify right side
    352.79x = 113,295.42
  5. Step 5: Solve for x
    x = 113,295.42/352.79
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.