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Finding the Fourth Proportional to 305.60, 421.26 and 239.99

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Solution

The fourth proportional to 305.60, 421.26 and 239.99 is: 330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 421.26 = 239.99 : x
  2. Step 2: Convert to fraction form
    305.60/421.26 = 239.99/x
  3. Step 3: Cross multiply
    305.60x = 421.26 × 239.99
  4. Step 4: Simplify right side
    305.60x = 101,095.18
  5. Step 5: Solve for x
    x = 101,095.18/305.60
  6. Step 6: Final answer
    x = 330.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.