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Finding the Fourth Proportional to 404.19, 605.07 and 274.19

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Solution

The fourth proportional to 404.19, 605.07 and 274.19 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.19 : 605.07 = 274.19 : x
  2. Step 2: Convert to fraction form
    404.19/605.07 = 274.19/x
  3. Step 3: Cross multiply
    404.19x = 605.07 × 274.19
  4. Step 4: Simplify right side
    404.19x = 165,901.12
  5. Step 5: Solve for x
    x = 165,901.12/404.19
  6. Step 6: Final answer
    x = 410.45

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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.