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Finding the Fourth Proportional to 347.18, 478.82 and 277.23

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Solution

The fourth proportional to 347.18, 478.82 and 277.23 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 478.82 = 277.23 : x
  2. Step 2: Convert to fraction form
    347.18/478.82 = 277.23/x
  3. Step 3: Cross multiply
    347.18x = 478.82 × 277.23
  4. Step 4: Simplify right side
    347.18x = 132,745.76
  5. Step 5: Solve for x
    x = 132,745.76/347.18
  6. Step 6: Final answer
    x = 382.36

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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.