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Finding the Fourth Proportional to 620.19, 855.83 and 358.22

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Solution

The fourth proportional to 620.19, 855.83 and 358.22 is: 494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.19 : 855.83 = 358.22 : x
  2. Step 2: Convert to fraction form
    620.19/855.83 = 358.22/x
  3. Step 3: Cross multiply
    620.19x = 855.83 × 358.22
  4. Step 4: Simplify right side
    620.19x = 306,578.46
  5. Step 5: Solve for x
    x = 306,578.46/620.19
  6. Step 6: Final answer
    x = 494.33

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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.