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Finding the Fourth Proportional to 337.75, 465.69 and 275.46

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Solution

The fourth proportional to 337.75, 465.69 and 275.46 is: 379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.75 : 465.69 = 275.46 : x
  2. Step 2: Convert to fraction form
    337.75/465.69 = 275.46/x
  3. Step 3: Cross multiply
    337.75x = 465.69 × 275.46
  4. Step 4: Simplify right side
    337.75x = 128,278.97
  5. Step 5: Solve for x
    x = 128,278.97/337.75
  6. Step 6: Final answer
    x = 379.80

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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.