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Finding the Fourth Proportional to 660.54, 910.80 and 494.22

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Solution

The fourth proportional to 660.54, 910.80 and 494.22 is: 681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 910.80 = 494.22 : x
  2. Step 2: Convert to fraction form
    660.54/910.80 = 494.22/x
  3. Step 3: Cross multiply
    660.54x = 910.80 × 494.22
  4. Step 4: Simplify right side
    660.54x = 450,135.58
  5. Step 5: Solve for x
    x = 450,135.58/660.54
  6. Step 6: Final answer
    x = 681.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.