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Finding the Fourth Proportional to 421.37, 581.84 and 274.25

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Solution

The fourth proportional to 421.37, 581.84 and 274.25 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.37 : 581.84 = 274.25 : x
  2. Step 2: Convert to fraction form
    421.37/581.84 = 274.25/x
  3. Step 3: Cross multiply
    421.37x = 581.84 × 274.25
  4. Step 4: Simplify right side
    421.37x = 159,569.62
  5. Step 5: Solve for x
    x = 159,569.62/421.37
  6. Step 6: Final answer
    x = 378.69

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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.