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Finding the Fourth Proportional to 270.24, 404.64 and 218.52

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Solution

The fourth proportional to 270.24, 404.64 and 218.52 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 404.64 = 218.52 : x
  2. Step 2: Convert to fraction form
    270.24/404.64 = 218.52/x
  3. Step 3: Cross multiply
    270.24x = 404.64 × 218.52
  4. Step 4: Simplify right side
    270.24x = 88,421.93
  5. Step 5: Solve for x
    x = 88,421.93/270.24
  6. Step 6: Final answer
    x = 327.20

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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.