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Finding the Fourth Proportional to 854.49, 1,280.96 and 306.54

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Solution

The fourth proportional to 854.49, 1,280.96 and 306.54 is: 459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.49 : 1,280.96 = 306.54 : x
  2. Step 2: Convert to fraction form
    854.49/1,280.96 = 306.54/x
  3. Step 3: Cross multiply
    854.49x = 1,280.96 × 306.54
  4. Step 4: Simplify right side
    854.49x = 392,665.67
  5. Step 5: Solve for x
    x = 392,665.67/854.49
  6. Step 6: Final answer
    x = 459.53

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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.