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Finding the Fourth Proportional to 619.74, 855.09 and 371.13

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Solution

The fourth proportional to 619.74, 855.09 and 371.13 is: 512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.74 : 855.09 = 371.13 : x
  2. Step 2: Convert to fraction form
    619.74/855.09 = 371.13/x
  3. Step 3: Cross multiply
    619.74x = 855.09 × 371.13
  4. Step 4: Simplify right side
    619.74x = 317,349.55
  5. Step 5: Solve for x
    x = 317,349.55/619.74
  6. Step 6: Final answer
    x = 512.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.