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Finding the Fourth Proportional to 421.54, 581.11 and 274.12

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Solution

The fourth proportional to 421.54, 581.11 and 274.12 is: 377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 581.11 = 274.12 : x
  2. Step 2: Convert to fraction form
    421.54/581.11 = 274.12/x
  3. Step 3: Cross multiply
    421.54x = 581.11 × 274.12
  4. Step 4: Simplify right side
    421.54x = 159,293.87
  5. Step 5: Solve for x
    x = 159,293.87/421.54
  6. Step 6: Final answer
    x = 377.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.