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Finding the Fourth Proportional to 855.22, 1,282.57 and 307.27

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Solution

The fourth proportional to 855.22, 1,282.57 and 307.27 is: 460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.22 : 1,282.57 = 307.27 : x
  2. Step 2: Convert to fraction form
    855.22/1,282.57 = 307.27/x
  3. Step 3: Cross multiply
    855.22x = 1,282.57 × 307.27
  4. Step 4: Simplify right side
    855.22x = 394,095.28
  5. Step 5: Solve for x
    x = 394,095.28/855.22
  6. Step 6: Final answer
    x = 460.81

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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.