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Finding the Fourth Proportional to 357.44, 535.96 and 213.26

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Solution

The fourth proportional to 357.44, 535.96 and 213.26 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 535.96 = 213.26 : x
  2. Step 2: Convert to fraction form
    357.44/535.96 = 213.26/x
  3. Step 3: Cross multiply
    357.44x = 535.96 × 213.26
  4. Step 4: Simplify right side
    357.44x = 114,298.83
  5. Step 5: Solve for x
    x = 114,298.83/357.44
  6. Step 6: Final answer
    x = 319.77

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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.