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Finding the Fourth Proportional to 347.28, 478.86 and 288.96

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Solution

The fourth proportional to 347.28, 478.86 and 288.96 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 478.86 = 288.96 : x
  2. Step 2: Convert to fraction form
    347.28/478.86 = 288.96/x
  3. Step 3: Cross multiply
    347.28x = 478.86 × 288.96
  4. Step 4: Simplify right side
    347.28x = 138,371.39
  5. Step 5: Solve for x
    x = 138,371.39/347.28
  6. Step 6: Final answer
    x = 398.44

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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.