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Finding the Fourth Proportional to 853.75, 1,280.75 and 366.80

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Solution

The fourth proportional to 853.75, 1,280.75 and 366.80 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.75 : 1,280.75 = 366.80 : x
  2. Step 2: Convert to fraction form
    853.75/1,280.75 = 366.80/x
  3. Step 3: Cross multiply
    853.75x = 1,280.75 × 366.80
  4. Step 4: Simplify right side
    853.75x = 469,779.10
  5. Step 5: Solve for x
    x = 469,779.10/853.75
  6. Step 6: Final answer
    x = 550.25

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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.