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Finding the Fourth Proportional to 990.07, 1,485.09 and 296.71

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Solution

The fourth proportional to 990.07, 1,485.09 and 296.71 is: 445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.07 : 1,485.09 = 296.71 : x
  2. Step 2: Convert to fraction form
    990.07/1,485.09 = 296.71/x
  3. Step 3: Cross multiply
    990.07x = 1,485.09 × 296.71
  4. Step 4: Simplify right side
    990.07x = 440,641.05
  5. Step 5: Solve for x
    x = 440,641.05/990.07
  6. Step 6: Final answer
    x = 445.06

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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.