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Finding the Fourth Proportional to 309.78, 427.68 and 240

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Solution

The fourth proportional to 309.78, 427.68 and 240 is: 331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 427.68 = 240 : x
  2. Step 2: Convert to fraction form
    309.78/427.68 = 240/x
  3. Step 3: Cross multiply
    309.78x = 427.68 × 240
  4. Step 4: Simplify right side
    309.78x = 102,643.20
  5. Step 5: Solve for x
    x = 102,643.20/309.78
  6. Step 6: Final answer
    x = 331.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.