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Finding the Fourth Proportional to 350.52, 524.48 and 213.68

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Solution

The fourth proportional to 350.52, 524.48 and 213.68 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.52 : 524.48 = 213.68 : x
  2. Step 2: Convert to fraction form
    350.52/524.48 = 213.68/x
  3. Step 3: Cross multiply
    350.52x = 524.48 × 213.68
  4. Step 4: Simplify right side
    350.52x = 112,070.89
  5. Step 5: Solve for x
    x = 112,070.89/350.52
  6. Step 6: Final answer
    x = 319.73

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