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Finding the Fourth Proportional to 312.82, 427.86 and 307.78

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Solution

The fourth proportional to 312.82, 427.86 and 307.78 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 427.86 = 307.78 : x
  2. Step 2: Convert to fraction form
    312.82/427.86 = 307.78/x
  3. Step 3: Cross multiply
    312.82x = 427.86 × 307.78
  4. Step 4: Simplify right side
    312.82x = 131,686.75
  5. Step 5: Solve for x
    x = 131,686.75/312.82
  6. Step 6: Final answer
    x = 420.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.