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Finding the Fourth Proportional to 942.30, 1,413.04 and 325.84

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Solution

The fourth proportional to 942.30, 1,413.04 and 325.84 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.30 : 1,413.04 = 325.84 : x
  2. Step 2: Convert to fraction form
    942.30/1,413.04 = 325.84/x
  3. Step 3: Cross multiply
    942.30x = 1,413.04 × 325.84
  4. Step 4: Simplify right side
    942.30x = 460,424.95
  5. Step 5: Solve for x
    x = 460,424.95/942.30
  6. Step 6: Final answer
    x = 488.62

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Why These Related Problems?

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