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Finding the Fourth Proportional to 301.80, 416.29 and 272.07

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Solution

The fourth proportional to 301.80, 416.29 and 272.07 is: 375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.80 : 416.29 = 272.07 : x
  2. Step 2: Convert to fraction form
    301.80/416.29 = 272.07/x
  3. Step 3: Cross multiply
    301.80x = 416.29 × 272.07
  4. Step 4: Simplify right side
    301.80x = 113,260.02
  5. Step 5: Solve for x
    x = 113,260.02/301.80
  6. Step 6: Final answer
    x = 375.28

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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.