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Finding the Fourth Proportional to 942.16, 1,413.12 and 325.84

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Solution

The fourth proportional to 942.16, 1,413.12 and 325.84 is: 488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.16 : 1,413.12 = 325.84 : x
  2. Step 2: Convert to fraction form
    942.16/1,413.12 = 325.84/x
  3. Step 3: Cross multiply
    942.16x = 1,413.12 × 325.84
  4. Step 4: Simplify right side
    942.16x = 460,451.02
  5. Step 5: Solve for x
    x = 460,451.02/942.16
  6. Step 6: Final answer
    x = 488.72

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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.