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Finding the Fourth Proportional to 301.36, 450.96 and 277.60

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Solution

The fourth proportional to 301.36, 450.96 and 277.60 is: 415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 450.96 = 277.60 : x
  2. Step 2: Convert to fraction form
    301.36/450.96 = 277.60/x
  3. Step 3: Cross multiply
    301.36x = 450.96 × 277.60
  4. Step 4: Simplify right side
    301.36x = 125,186.50
  5. Step 5: Solve for x
    x = 125,186.50/301.36
  6. Step 6: Final answer
    x = 415.41

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Why These Related Problems?

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