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Finding the Fourth Proportional to 994.16, 1,490.42 and 416.63

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Solution

The fourth proportional to 994.16, 1,490.42 and 416.63 is: 624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.16 : 1,490.42 = 416.63 : x
  2. Step 2: Convert to fraction form
    994.16/1,490.42 = 416.63/x
  3. Step 3: Cross multiply
    994.16x = 1,490.42 × 416.63
  4. Step 4: Simplify right side
    994.16x = 620,944.15
  5. Step 5: Solve for x
    x = 620,944.15/994.16
  6. Step 6: Final answer
    x = 624.59

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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.