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Finding the Fourth Proportional to 855.55, 1,283.14 and 307.77

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Solution

The fourth proportional to 855.55, 1,283.14 and 307.77 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.55 : 1,283.14 = 307.77 : x
  2. Step 2: Convert to fraction form
    855.55/1,283.14 = 307.77/x
  3. Step 3: Cross multiply
    855.55x = 1,283.14 × 307.77
  4. Step 4: Simplify right side
    855.55x = 394,912.00
  5. Step 5: Solve for x
    x = 394,912.00/855.55
  6. Step 6: Final answer
    x = 461.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.