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Finding the Fourth Proportional to 300.60, 450.21 and 257.88

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Solution

The fourth proportional to 300.60, 450.21 and 257.88 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 450.21 = 257.88 : x
  2. Step 2: Convert to fraction form
    300.60/450.21 = 257.88/x
  3. Step 3: Cross multiply
    300.60x = 450.21 × 257.88
  4. Step 4: Simplify right side
    300.60x = 116,100.15
  5. Step 5: Solve for x
    x = 116,100.15/300.60
  6. Step 6: Final answer
    x = 386.23

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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.