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Finding the Fourth Proportional to 305.99, 459.21 and 233.09

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Solution

The fourth proportional to 305.99, 459.21 and 233.09 is: 349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 459.21 = 233.09 : x
  2. Step 2: Convert to fraction form
    305.99/459.21 = 233.09/x
  3. Step 3: Cross multiply
    305.99x = 459.21 × 233.09
  4. Step 4: Simplify right side
    305.99x = 107,034.96
  5. Step 5: Solve for x
    x = 107,034.96/305.99
  6. Step 6: Final answer
    x = 349.80

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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.