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Finding the Fourth Proportional to 620.26, 855.90 and 358.24

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Solution

The fourth proportional to 620.26, 855.90 and 358.24 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 855.90 = 358.24 : x
  2. Step 2: Convert to fraction form
    620.26/855.90 = 358.24/x
  3. Step 3: Cross multiply
    620.26x = 855.90 × 358.24
  4. Step 4: Simplify right side
    620.26x = 306,617.62
  5. Step 5: Solve for x
    x = 306,617.62/620.26
  6. Step 6: Final answer
    x = 494.34

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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.