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Finding the Fourth Proportional to 606.70, 910.14 and 298.56

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Solution

The fourth proportional to 606.70, 910.14 and 298.56 is: 447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.70 : 910.14 = 298.56 : x
  2. Step 2: Convert to fraction form
    606.70/910.14 = 298.56/x
  3. Step 3: Cross multiply
    606.70x = 910.14 × 298.56
  4. Step 4: Simplify right side
    606.70x = 271,731.40
  5. Step 5: Solve for x
    x = 271,731.40/606.70
  6. Step 6: Final answer
    x = 447.88

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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.