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Finding the Fourth Proportional to 300.06, 414.77 and 253.68

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Solution

The fourth proportional to 300.06, 414.77 and 253.68 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.06 : 414.77 = 253.68 : x
  2. Step 2: Convert to fraction form
    300.06/414.77 = 253.68/x
  3. Step 3: Cross multiply
    300.06x = 414.77 × 253.68
  4. Step 4: Simplify right side
    300.06x = 105,217.59
  5. Step 5: Solve for x
    x = 105,217.59/300.06
  6. Step 6: Final answer
    x = 350.66

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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.