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Finding the Fourth Proportional to 853.49, 1,280.03 and 366.54

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Solution

The fourth proportional to 853.49, 1,280.03 and 366.54 is: 549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.49 : 1,280.03 = 366.54 : x
  2. Step 2: Convert to fraction form
    853.49/1,280.03 = 366.54/x
  3. Step 3: Cross multiply
    853.49x = 1,280.03 × 366.54
  4. Step 4: Simplify right side
    853.49x = 469,180.36
  5. Step 5: Solve for x
    x = 469,180.36/853.49
  6. Step 6: Final answer
    x = 549.72

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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.