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Finding the Fourth Proportional to 353.53, 529.07 and 214.63

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Solution

The fourth proportional to 353.53, 529.07 and 214.63 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.53 : 529.07 = 214.63 : x
  2. Step 2: Convert to fraction form
    353.53/529.07 = 214.63/x
  3. Step 3: Cross multiply
    353.53x = 529.07 × 214.63
  4. Step 4: Simplify right side
    353.53x = 113,550.58
  5. Step 5: Solve for x
    x = 113,550.58/353.53
  6. Step 6: Final answer
    x = 321.19

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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.