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Finding the Fourth Proportional to 277.37, 416.54 and 229.37

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Solution

The fourth proportional to 277.37, 416.54 and 229.37 is: 344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.37 : 416.54 = 229.37 : x
  2. Step 2: Convert to fraction form
    277.37/416.54 = 229.37/x
  3. Step 3: Cross multiply
    277.37x = 416.54 × 229.37
  4. Step 4: Simplify right side
    277.37x = 95,540.63
  5. Step 5: Solve for x
    x = 95,540.63/277.37
  6. Step 6: Final answer
    x = 344.45

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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.