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Finding the Fourth Proportional to 404.36, 605.58 and 233

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Solution

The fourth proportional to 404.36, 605.58 and 233 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 605.58 = 233 : x
  2. Step 2: Convert to fraction form
    404.36/605.58 = 233/x
  3. Step 3: Cross multiply
    404.36x = 605.58 × 233
  4. Step 4: Simplify right side
    404.36x = 141,100.14
  5. Step 5: Solve for x
    x = 141,100.14/404.36
  6. Step 6: Final answer
    x = 348.95

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Why These Related Problems?

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