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Finding the Fourth Proportional to 301.05, 416.54 and 262.33

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Solution

The fourth proportional to 301.05, 416.54 and 262.33 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.05 : 416.54 = 262.33 : x
  2. Step 2: Convert to fraction form
    301.05/416.54 = 262.33/x
  3. Step 3: Cross multiply
    301.05x = 416.54 × 262.33
  4. Step 4: Simplify right side
    301.05x = 109,270.55
  5. Step 5: Solve for x
    x = 109,270.55/301.05
  6. Step 6: Final answer
    x = 362.96

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Why These Related Problems?

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