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Finding the Fourth Proportional to 993.37, 1,490.07 and 263.02

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Solution

The fourth proportional to 993.37, 1,490.07 and 263.02 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.37 : 1,490.07 = 263.02 : x
  2. Step 2: Convert to fraction form
    993.37/1,490.07 = 263.02/x
  3. Step 3: Cross multiply
    993.37x = 1,490.07 × 263.02
  4. Step 4: Simplify right side
    993.37x = 391,918.21
  5. Step 5: Solve for x
    x = 391,918.21/993.37
  6. Step 6: Final answer
    x = 394.53

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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.