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Finding the Fourth Proportional to 344.09, 515.46 and 228.19

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Solution

The fourth proportional to 344.09, 515.46 and 228.19 is: 341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.09 : 515.46 = 228.19 : x
  2. Step 2: Convert to fraction form
    344.09/515.46 = 228.19/x
  3. Step 3: Cross multiply
    344.09x = 515.46 × 228.19
  4. Step 4: Simplify right side
    344.09x = 117,619.10
  5. Step 5: Solve for x
    x = 117,619.10/344.09
  6. Step 6: Final answer
    x = 341.83

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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.