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Finding the Fourth Proportional to 853.97, 1,280.58 and 333.70

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Solution

The fourth proportional to 853.97, 1,280.58 and 333.70 is: 500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,280.58 = 333.70 : x
  2. Step 2: Convert to fraction form
    853.97/1,280.58 = 333.70/x
  3. Step 3: Cross multiply
    853.97x = 1,280.58 × 333.70
  4. Step 4: Simplify right side
    853.97x = 427,323.14
  5. Step 5: Solve for x
    x = 427,323.14/853.97
  6. Step 6: Final answer
    x = 500.40

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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.