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Finding the Fourth Proportional to 621.88, 933.78 and 413.96

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Solution

The fourth proportional to 621.88, 933.78 and 413.96 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.88 : 933.78 = 413.96 : x
  2. Step 2: Convert to fraction form
    621.88/933.78 = 413.96/x
  3. Step 3: Cross multiply
    621.88x = 933.78 × 413.96
  4. Step 4: Simplify right side
    621.88x = 386,547.57
  5. Step 5: Solve for x
    x = 386,547.57/621.88
  6. Step 6: Final answer
    x = 621.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.