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Finding the Fourth Proportional to 985.39, 1,477.96 and 254.92

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Solution

The fourth proportional to 985.39, 1,477.96 and 254.92 is: 382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.39 : 1,477.96 = 254.92 : x
  2. Step 2: Convert to fraction form
    985.39/1,477.96 = 254.92/x
  3. Step 3: Cross multiply
    985.39x = 1,477.96 × 254.92
  4. Step 4: Simplify right side
    985.39x = 376,761.56
  5. Step 5: Solve for x
    x = 376,761.56/985.39
  6. Step 6: Final answer
    x = 382.35

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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.