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Finding the Fourth Proportional to 942.09, 1,413.11 and 386.67

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Solution

The fourth proportional to 942.09, 1,413.11 and 386.67 is: 580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,413.11 = 386.67 : x
  2. Step 2: Convert to fraction form
    942.09/1,413.11 = 386.67/x
  3. Step 3: Cross multiply
    942.09x = 1,413.11 × 386.67
  4. Step 4: Simplify right side
    942.09x = 546,413.51
  5. Step 5: Solve for x
    x = 546,413.51/942.09
  6. Step 6: Final answer
    x = 580.00

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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.