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Finding the Fourth Proportional to 337.95, 465.37 and 267.80

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Solution

The fourth proportional to 337.95, 465.37 and 267.80 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 465.37 = 267.80 : x
  2. Step 2: Convert to fraction form
    337.95/465.37 = 267.80/x
  3. Step 3: Cross multiply
    337.95x = 465.37 × 267.80
  4. Step 4: Simplify right side
    337.95x = 124,623.09
  5. Step 5: Solve for x
    x = 124,623.09/337.95
  6. Step 6: Final answer
    x = 368.76

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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.