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Finding the Fourth Proportional to 291.40, 404.11 and 262.60

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Solution

The fourth proportional to 291.40, 404.11 and 262.60 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 404.11 = 262.60 : x
  2. Step 2: Convert to fraction form
    291.40/404.11 = 262.60/x
  3. Step 3: Cross multiply
    291.40x = 404.11 × 262.60
  4. Step 4: Simplify right side
    291.40x = 106,119.29
  5. Step 5: Solve for x
    x = 106,119.29/291.40
  6. Step 6: Final answer
    x = 364.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.