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Finding the Fourth Proportional to 343.55, 472.60 and 301.34

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Solution

The fourth proportional to 343.55, 472.60 and 301.34 is: 414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 472.60 = 301.34 : x
  2. Step 2: Convert to fraction form
    343.55/472.60 = 301.34/x
  3. Step 3: Cross multiply
    343.55x = 472.60 × 301.34
  4. Step 4: Simplify right side
    343.55x = 142,414.84
  5. Step 5: Solve for x
    x = 142,414.84/343.55
  6. Step 6: Final answer
    x = 414.54

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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.