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Finding the Fourth Proportional to 337.90, 465.74 and 267.84

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Solution

The fourth proportional to 337.90, 465.74 and 267.84 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.90 : 465.74 = 267.84 : x
  2. Step 2: Convert to fraction form
    337.90/465.74 = 267.84/x
  3. Step 3: Cross multiply
    337.90x = 465.74 × 267.84
  4. Step 4: Simplify right side
    337.90x = 124,743.80
  5. Step 5: Solve for x
    x = 124,743.80/337.90
  6. Step 6: Final answer
    x = 369.17

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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.