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Finding the Fourth Proportional to 300.90, 451.02 and 257.46

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Solution

The fourth proportional to 300.90, 451.02 and 257.46 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 451.02 = 257.46 : x
  2. Step 2: Convert to fraction form
    300.90/451.02 = 257.46/x
  3. Step 3: Cross multiply
    300.90x = 451.02 × 257.46
  4. Step 4: Simplify right side
    300.90x = 116,119.61
  5. Step 5: Solve for x
    x = 116,119.61/300.90
  6. Step 6: Final answer
    x = 385.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.