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Finding the Fourth Proportional to 853.41, 1,280.62 and 359.79

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Solution

The fourth proportional to 853.41, 1,280.62 and 359.79 is: 539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.41 : 1,280.62 = 359.79 : x
  2. Step 2: Convert to fraction form
    853.41/1,280.62 = 359.79/x
  3. Step 3: Cross multiply
    853.41x = 1,280.62 × 359.79
  4. Step 4: Simplify right side
    853.41x = 460,750.29
  5. Step 5: Solve for x
    x = 460,750.29/853.41
  6. Step 6: Final answer
    x = 539.89

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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.