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Finding the Fourth Proportional to 404.93, 607.09 and 274.56

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Solution

The fourth proportional to 404.93, 607.09 and 274.56 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.93 : 607.09 = 274.56 : x
  2. Step 2: Convert to fraction form
    404.93/607.09 = 274.56/x
  3. Step 3: Cross multiply
    404.93x = 607.09 × 274.56
  4. Step 4: Simplify right side
    404.93x = 166,682.63
  5. Step 5: Solve for x
    x = 166,682.63/404.93
  6. Step 6: Final answer
    x = 411.63

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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.