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Finding the Fourth Proportional to 405.19, 606.74 and 267.81

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Solution

The fourth proportional to 405.19, 606.74 and 267.81 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 606.74 = 267.81 : x
  2. Step 2: Convert to fraction form
    405.19/606.74 = 267.81/x
  3. Step 3: Cross multiply
    405.19x = 606.74 × 267.81
  4. Step 4: Simplify right side
    405.19x = 162,491.04
  5. Step 5: Solve for x
    x = 162,491.04/405.19
  6. Step 6: Final answer
    x = 401.03

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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.