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Finding the Fourth Proportional to 855.24, 1,282.90 and 307.68

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Solution

The fourth proportional to 855.24, 1,282.90 and 307.68 is: 461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.24 : 1,282.90 = 307.68 : x
  2. Step 2: Convert to fraction form
    855.24/1,282.90 = 307.68/x
  3. Step 3: Cross multiply
    855.24x = 1,282.90 × 307.68
  4. Step 4: Simplify right side
    855.24x = 394,722.67
  5. Step 5: Solve for x
    x = 394,722.67/855.24
  6. Step 6: Final answer
    x = 461.53

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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.