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Finding the Fourth Proportional to 371.61, 513.30 and 339.41

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Solution

The fourth proportional to 371.61, 513.30 and 339.41 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.61 : 513.30 = 339.41 : x
  2. Step 2: Convert to fraction form
    371.61/513.30 = 339.41/x
  3. Step 3: Cross multiply
    371.61x = 513.30 × 339.41
  4. Step 4: Simplify right side
    371.61x = 174,219.15
  5. Step 5: Solve for x
    x = 174,219.15/371.61
  6. Step 6: Final answer
    x = 468.82

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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.