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Finding the Fourth Proportional to 337.11, 465.30 and 271.50

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Solution

The fourth proportional to 337.11, 465.30 and 271.50 is: 374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.11 : 465.30 = 271.50 : x
  2. Step 2: Convert to fraction form
    337.11/465.30 = 271.50/x
  3. Step 3: Cross multiply
    337.11x = 465.30 × 271.50
  4. Step 4: Simplify right side
    337.11x = 126,328.95
  5. Step 5: Solve for x
    x = 126,328.95/337.11
  6. Step 6: Final answer
    x = 374.74

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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.