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Finding the Fourth Proportional to 411.42, 567.81 and 254.09

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Solution

The fourth proportional to 411.42, 567.81 and 254.09 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 567.81 = 254.09 : x
  2. Step 2: Convert to fraction form
    411.42/567.81 = 254.09/x
  3. Step 3: Cross multiply
    411.42x = 567.81 × 254.09
  4. Step 4: Simplify right side
    411.42x = 144,272.00
  5. Step 5: Solve for x
    x = 144,272.00/411.42
  6. Step 6: Final answer
    x = 350.67

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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.