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Finding the Fourth Proportional to 660.14, 910.81 and 449.94

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Solution

The fourth proportional to 660.14, 910.81 and 449.94 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.14 : 910.81 = 449.94 : x
  2. Step 2: Convert to fraction form
    660.14/910.81 = 449.94/x
  3. Step 3: Cross multiply
    660.14x = 910.81 × 449.94
  4. Step 4: Simplify right side
    660.14x = 409,809.85
  5. Step 5: Solve for x
    x = 409,809.85/660.14
  6. Step 6: Final answer
    x = 620.79

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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.