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Finding the Fourth Proportional to 660.09, 910.99 and 494.02

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Solution

The fourth proportional to 660.09, 910.99 and 494.02 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.09 : 910.99 = 494.02 : x
  2. Step 2: Convert to fraction form
    660.09/910.99 = 494.02/x
  3. Step 3: Cross multiply
    660.09x = 910.99 × 494.02
  4. Step 4: Simplify right side
    660.09x = 450,047.28
  5. Step 5: Solve for x
    x = 450,047.28/660.09
  6. Step 6: Final answer
    x = 681.80

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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.