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Finding the Fourth Proportional to 854.92, 1,282.11 and 307.09

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Solution

The fourth proportional to 854.92, 1,282.11 and 307.09 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.92 : 1,282.11 = 307.09 : x
  2. Step 2: Convert to fraction form
    854.92/1,282.11 = 307.09/x
  3. Step 3: Cross multiply
    854.92x = 1,282.11 × 307.09
  4. Step 4: Simplify right side
    854.92x = 393,723.16
  5. Step 5: Solve for x
    x = 393,723.16/854.92
  6. Step 6: Final answer
    x = 460.54

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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.