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Finding the Fourth Proportional to 474.86, 655.11 and 300.26

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Solution

The fourth proportional to 474.86, 655.11 and 300.26 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 655.11 = 300.26 : x
  2. Step 2: Convert to fraction form
    474.86/655.11 = 300.26/x
  3. Step 3: Cross multiply
    474.86x = 655.11 × 300.26
  4. Step 4: Simplify right side
    474.86x = 196,700.05
  5. Step 5: Solve for x
    x = 196,700.05/474.86
  6. Step 6: Final answer
    x = 414.23

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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.