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Finding the Fourth Proportional to 277.44, 417.24 and 223.44

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Solution

The fourth proportional to 277.44, 417.24 and 223.44 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 417.24 = 223.44 : x
  2. Step 2: Convert to fraction form
    277.44/417.24 = 223.44/x
  3. Step 3: Cross multiply
    277.44x = 417.24 × 223.44
  4. Step 4: Simplify right side
    277.44x = 93,228.11
  5. Step 5: Solve for x
    x = 93,228.11/277.44
  6. Step 6: Final answer
    x = 336.03

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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.