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Finding the Fourth Proportional to 306.63, 459.41 and 215.37

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Solution

The fourth proportional to 306.63, 459.41 and 215.37 is: 322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 459.41 = 215.37 : x
  2. Step 2: Convert to fraction form
    306.63/459.41 = 215.37/x
  3. Step 3: Cross multiply
    306.63x = 459.41 × 215.37
  4. Step 4: Simplify right side
    306.63x = 98,942.05
  5. Step 5: Solve for x
    x = 98,942.05/306.63
  6. Step 6: Final answer
    x = 322.68

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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.