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Finding the Fourth Proportional to 474.94, 655.42 and 300.52

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Solution

The fourth proportional to 474.94, 655.42 and 300.52 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 655.42 = 300.52 : x
  2. Step 2: Convert to fraction form
    474.94/655.42 = 300.52/x
  3. Step 3: Cross multiply
    474.94x = 655.42 × 300.52
  4. Step 4: Simplify right side
    474.94x = 196,964.43
  5. Step 5: Solve for x
    x = 196,964.43/474.94
  6. Step 6: Final answer
    x = 414.72

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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.