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Finding the Fourth Proportional to 990.27, 1,485.68 and 296.94

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Solution

The fourth proportional to 990.27, 1,485.68 and 296.94 is: 445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.27 : 1,485.68 = 296.94 : x
  2. Step 2: Convert to fraction form
    990.27/1,485.68 = 296.94/x
  3. Step 3: Cross multiply
    990.27x = 1,485.68 × 296.94
  4. Step 4: Simplify right side
    990.27x = 441,157.82
  5. Step 5: Solve for x
    x = 441,157.82/990.27
  6. Step 6: Final answer
    x = 445.49

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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.