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Finding the Fourth Proportional to 454.99, 681.81 and 409.09

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Solution

The fourth proportional to 454.99, 681.81 and 409.09 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.99 : 681.81 = 409.09 : x
  2. Step 2: Convert to fraction form
    454.99/681.81 = 409.09/x
  3. Step 3: Cross multiply
    454.99x = 681.81 × 409.09
  4. Step 4: Simplify right side
    454.99x = 278,921.65
  5. Step 5: Solve for x
    x = 278,921.65/454.99
  6. Step 6: Final answer
    x = 613.03

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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.