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Finding the Fourth Proportional to 344.14, 474.69 and 219.75

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Solution

The fourth proportional to 344.14, 474.69 and 219.75 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 474.69 = 219.75 : x
  2. Step 2: Convert to fraction form
    344.14/474.69 = 219.75/x
  3. Step 3: Cross multiply
    344.14x = 474.69 × 219.75
  4. Step 4: Simplify right side
    344.14x = 104,313.13
  5. Step 5: Solve for x
    x = 104,313.13/344.14
  6. Step 6: Final answer
    x = 303.11

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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.