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Finding the Fourth Proportional to 350.72, 525.38 and 213.36

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Solution

The fourth proportional to 350.72, 525.38 and 213.36 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.72 : 525.38 = 213.36 : x
  2. Step 2: Convert to fraction form
    350.72/525.38 = 213.36/x
  3. Step 3: Cross multiply
    350.72x = 525.38 × 213.36
  4. Step 4: Simplify right side
    350.72x = 112,095.08
  5. Step 5: Solve for x
    x = 112,095.08/350.72
  6. Step 6: Final answer
    x = 319.61

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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.