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Finding the Fourth Proportional to 301.02, 415.23 and 264.26

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Solution

The fourth proportional to 301.02, 415.23 and 264.26 is: 364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 415.23 = 264.26 : x
  2. Step 2: Convert to fraction form
    301.02/415.23 = 264.26/x
  3. Step 3: Cross multiply
    301.02x = 415.23 × 264.26
  4. Step 4: Simplify right side
    301.02x = 109,728.73
  5. Step 5: Solve for x
    x = 109,728.73/301.02
  6. Step 6: Final answer
    x = 364.53

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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.