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Finding the Fourth Proportional to 301.30, 411.48 and 298.06

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Solution

The fourth proportional to 301.30, 411.48 and 298.06 is: 407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.30 : 411.48 = 298.06 : x
  2. Step 2: Convert to fraction form
    301.30/411.48 = 298.06/x
  3. Step 3: Cross multiply
    301.30x = 411.48 × 298.06
  4. Step 4: Simplify right side
    301.30x = 122,645.73
  5. Step 5: Solve for x
    x = 122,645.73/301.30
  6. Step 6: Final answer
    x = 407.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.