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Finding the Fourth Proportional to 270.41, 406.55 and 216.68

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Solution

The fourth proportional to 270.41, 406.55 and 216.68 is: 325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.41 : 406.55 = 216.68 : x
  2. Step 2: Convert to fraction form
    270.41/406.55 = 216.68/x
  3. Step 3: Cross multiply
    270.41x = 406.55 × 216.68
  4. Step 4: Simplify right side
    270.41x = 88,089.76
  5. Step 5: Solve for x
    x = 88,089.76/270.41
  6. Step 6: Final answer
    x = 325.77

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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.