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Finding the Fourth Proportional to 421.69, 581.69 and 274.42

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Solution

The fourth proportional to 421.69, 581.69 and 274.42 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.69 : 581.69 = 274.42 : x
  2. Step 2: Convert to fraction form
    421.69/581.69 = 274.42/x
  3. Step 3: Cross multiply
    421.69x = 581.69 × 274.42
  4. Step 4: Simplify right side
    421.69x = 159,627.37
  5. Step 5: Solve for x
    x = 159,627.37/421.69
  6. Step 6: Final answer
    x = 378.54

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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.