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Finding the Fourth Proportional to 853.81, 1,280.10 and 333.37

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Solution

The fourth proportional to 853.81, 1,280.10 and 333.37 is: 499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.81 : 1,280.10 = 333.37 : x
  2. Step 2: Convert to fraction form
    853.81/1,280.10 = 333.37/x
  3. Step 3: Cross multiply
    853.81x = 1,280.10 × 333.37
  4. Step 4: Simplify right side
    853.81x = 426,746.94
  5. Step 5: Solve for x
    x = 426,746.94/853.81
  6. Step 6: Final answer
    x = 499.81

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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.