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Finding the Fourth Proportional to 853.77, 1,280.25 and 366.69

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Solution

The fourth proportional to 853.77, 1,280.25 and 366.69 is: 549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.77 : 1,280.25 = 366.69 : x
  2. Step 2: Convert to fraction form
    853.77/1,280.25 = 366.69/x
  3. Step 3: Cross multiply
    853.77x = 1,280.25 × 366.69
  4. Step 4: Simplify right side
    853.77x = 469,454.87
  5. Step 5: Solve for x
    x = 469,454.87/853.77
  6. Step 6: Final answer
    x = 549.86

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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.