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Finding the Fourth Proportional to 998.38, 1,497.62 and 305.06

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Solution

The fourth proportional to 998.38, 1,497.62 and 305.06 is: 457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.38 : 1,497.62 = 305.06 : x
  2. Step 2: Convert to fraction form
    998.38/1,497.62 = 305.06/x
  3. Step 3: Cross multiply
    998.38x = 1,497.62 × 305.06
  4. Step 4: Simplify right side
    998.38x = 456,863.96
  5. Step 5: Solve for x
    x = 456,863.96/998.38
  6. Step 6: Final answer
    x = 457.61

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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.