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Finding the Fourth Proportional to 305.75, 455.90 and 300.29

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Solution

The fourth proportional to 305.75, 455.90 and 300.29 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 455.90 = 300.29 : x
  2. Step 2: Convert to fraction form
    305.75/455.90 = 300.29/x
  3. Step 3: Cross multiply
    305.75x = 455.90 × 300.29
  4. Step 4: Simplify right side
    305.75x = 136,900.68
  5. Step 5: Solve for x
    x = 136,900.68/305.75
  6. Step 6: Final answer
    x = 447.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.