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Finding the Fourth Proportional to 291.84, 437.77 and 274.02

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Solution

The fourth proportional to 291.84, 437.77 and 274.02 is: 411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 437.77 = 274.02 : x
  2. Step 2: Convert to fraction form
    291.84/437.77 = 274.02/x
  3. Step 3: Cross multiply
    291.84x = 437.77 × 274.02
  4. Step 4: Simplify right side
    291.84x = 119,958.97
  5. Step 5: Solve for x
    x = 119,958.97/291.84
  6. Step 6: Final answer
    x = 411.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.