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Finding the Fourth Proportional to 347.31, 478.78 and 254.16

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Solution

The fourth proportional to 347.31, 478.78 and 254.16 is: 350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.31 : 478.78 = 254.16 : x
  2. Step 2: Convert to fraction form
    347.31/478.78 = 254.16/x
  3. Step 3: Cross multiply
    347.31x = 478.78 × 254.16
  4. Step 4: Simplify right side
    347.31x = 121,686.09
  5. Step 5: Solve for x
    x = 121,686.09/347.31
  6. Step 6: Final answer
    x = 350.37

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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.