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Finding the Fourth Proportional to 371.88, 511.98 and 347.37

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Solution

The fourth proportional to 371.88, 511.98 and 347.37 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.88 : 511.98 = 347.37 : x
  2. Step 2: Convert to fraction form
    371.88/511.98 = 347.37/x
  3. Step 3: Cross multiply
    371.88x = 511.98 × 347.37
  4. Step 4: Simplify right side
    371.88x = 177,846.49
  5. Step 5: Solve for x
    x = 177,846.49/371.88
  6. Step 6: Final answer
    x = 478.24

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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.