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Finding the Fourth Proportional to 853.55, 1,280.96 and 366.94

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Solution

The fourth proportional to 853.55, 1,280.96 and 366.94 is: 550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.55 : 1,280.96 = 366.94 : x
  2. Step 2: Convert to fraction form
    853.55/1,280.96 = 366.94/x
  3. Step 3: Cross multiply
    853.55x = 1,280.96 × 366.94
  4. Step 4: Simplify right side
    853.55x = 470,035.46
  5. Step 5: Solve for x
    x = 470,035.46/853.55
  6. Step 6: Final answer
    x = 550.68

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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.