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Finding the Fourth Proportional to 347.43, 478.17 and 277.26

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Solution

The fourth proportional to 347.43, 478.17 and 277.26 is: 381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.43 : 478.17 = 277.26 : x
  2. Step 2: Convert to fraction form
    347.43/478.17 = 277.26/x
  3. Step 3: Cross multiply
    347.43x = 478.17 × 277.26
  4. Step 4: Simplify right side
    347.43x = 132,577.41
  5. Step 5: Solve for x
    x = 132,577.41/347.43
  6. Step 6: Final answer
    x = 381.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.