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Finding the Fourth Proportional to 993.85, 1,490.93 and 300.43

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Solution

The fourth proportional to 993.85, 1,490.93 and 300.43 is: 450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.85 : 1,490.93 = 300.43 : x
  2. Step 2: Convert to fraction form
    993.85/1,490.93 = 300.43/x
  3. Step 3: Cross multiply
    993.85x = 1,490.93 × 300.43
  4. Step 4: Simplify right side
    993.85x = 447,914.87
  5. Step 5: Solve for x
    x = 447,914.87/993.85
  6. Step 6: Final answer
    x = 450.69

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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.