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Finding the Fourth Proportional to 300.90, 414.94 and 256.64

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Solution

The fourth proportional to 300.90, 414.94 and 256.64 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 414.94 = 256.64 : x
  2. Step 2: Convert to fraction form
    300.90/414.94 = 256.64/x
  3. Step 3: Cross multiply
    300.90x = 414.94 × 256.64
  4. Step 4: Simplify right side
    300.90x = 106,490.20
  5. Step 5: Solve for x
    x = 106,490.20/300.90
  6. Step 6: Final answer
    x = 353.91

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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.