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Finding the Fourth Proportional to 620.18, 855.69 and 413.18

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Solution

The fourth proportional to 620.18, 855.69 and 413.18 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.18 : 855.69 = 413.18 : x
  2. Step 2: Convert to fraction form
    620.18/855.69 = 413.18/x
  3. Step 3: Cross multiply
    620.18x = 855.69 × 413.18
  4. Step 4: Simplify right side
    620.18x = 353,553.99
  5. Step 5: Solve for x
    x = 353,553.99/620.18
  6. Step 6: Final answer
    x = 570.08

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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.