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Finding the Fourth Proportional to 344.24, 474.28 and 316.68

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Solution

The fourth proportional to 344.24, 474.28 and 316.68 is: 436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.24 : 474.28 = 316.68 : x
  2. Step 2: Convert to fraction form
    344.24/474.28 = 316.68/x
  3. Step 3: Cross multiply
    344.24x = 474.28 × 316.68
  4. Step 4: Simplify right side
    344.24x = 150,194.99
  5. Step 5: Solve for x
    x = 150,194.99/344.24
  6. Step 6: Final answer
    x = 436.31

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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.