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Finding the Fourth Proportional to 939.97, 1,410.05 and 290.75

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Solution

The fourth proportional to 939.97, 1,410.05 and 290.75 is: 436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,410.05 = 290.75 : x
  2. Step 2: Convert to fraction form
    939.97/1,410.05 = 290.75/x
  3. Step 3: Cross multiply
    939.97x = 1,410.05 × 290.75
  4. Step 4: Simplify right side
    939.97x = 409,976.29
  5. Step 5: Solve for x
    x = 409,976.29/939.97
  6. Step 6: Final answer
    x = 436.16

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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.