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Finding the Fourth Proportional to 662.06, 914.10 and 496.64

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Solution

The fourth proportional to 662.06, 914.10 and 496.64 is: 685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 914.10 = 496.64 : x
  2. Step 2: Convert to fraction form
    662.06/914.10 = 496.64/x
  3. Step 3: Cross multiply
    662.06x = 914.10 × 496.64
  4. Step 4: Simplify right side
    662.06x = 453,978.62
  5. Step 5: Solve for x
    x = 453,978.62/662.06
  6. Step 6: Final answer
    x = 685.71

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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.