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Finding the Fourth Proportional to 474.62, 655.08 and 300.20

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Solution

The fourth proportional to 474.62, 655.08 and 300.20 is: 414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.62 : 655.08 = 300.20 : x
  2. Step 2: Convert to fraction form
    474.62/655.08 = 300.20/x
  3. Step 3: Cross multiply
    474.62x = 655.08 × 300.20
  4. Step 4: Simplify right side
    474.62x = 196,655.02
  5. Step 5: Solve for x
    x = 196,655.02/474.62
  6. Step 6: Final answer
    x = 414.34

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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.