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Finding the Fourth Proportional to 496.16, 744.23 and 203.66

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Solution

The fourth proportional to 496.16, 744.23 and 203.66 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 744.23 = 203.66 : x
  2. Step 2: Convert to fraction form
    496.16/744.23 = 203.66/x
  3. Step 3: Cross multiply
    496.16x = 744.23 × 203.66
  4. Step 4: Simplify right side
    496.16x = 151,565.14
  5. Step 5: Solve for x
    x = 151,565.14/496.16
  6. Step 6: Final answer
    x = 305.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.