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Finding the Fourth Proportional to 620.06, 855.85 and 358.23

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Solution

The fourth proportional to 620.06, 855.85 and 358.23 is: 494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.06 : 855.85 = 358.23 : x
  2. Step 2: Convert to fraction form
    620.06/855.85 = 358.23/x
  3. Step 3: Cross multiply
    620.06x = 855.85 × 358.23
  4. Step 4: Simplify right side
    620.06x = 306,590.25
  5. Step 5: Solve for x
    x = 306,590.25/620.06
  6. Step 6: Final answer
    x = 494.45

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