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Finding the Fourth Proportional to 474.94, 655.22 and 343.72

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Solution

The fourth proportional to 474.94, 655.22 and 343.72 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 655.22 = 343.72 : x
  2. Step 2: Convert to fraction form
    474.94/655.22 = 343.72/x
  3. Step 3: Cross multiply
    474.94x = 655.22 × 343.72
  4. Step 4: Simplify right side
    474.94x = 225,212.22
  5. Step 5: Solve for x
    x = 225,212.22/474.94
  6. Step 6: Final answer
    x = 474.19

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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.