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Finding the Fourth Proportional to 993.82, 1,490.73 and 416.29

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Solution

The fourth proportional to 993.82, 1,490.73 and 416.29 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.82 : 1,490.73 = 416.29 : x
  2. Step 2: Convert to fraction form
    993.82/1,490.73 = 416.29/x
  3. Step 3: Cross multiply
    993.82x = 1,490.73 × 416.29
  4. Step 4: Simplify right side
    993.82x = 620,575.99
  5. Step 5: Solve for x
    x = 620,575.99/993.82
  6. Step 6: Final answer
    x = 624.44

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Why These Related Problems?

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