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Finding the Fourth Proportional to 942.01, 1,413.08 and 325.78

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Solution

The fourth proportional to 942.01, 1,413.08 and 325.78 is: 488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.01 : 1,413.08 = 325.78 : x
  2. Step 2: Convert to fraction form
    942.01/1,413.08 = 325.78/x
  3. Step 3: Cross multiply
    942.01x = 1,413.08 × 325.78
  4. Step 4: Simplify right side
    942.01x = 460,353.20
  5. Step 5: Solve for x
    x = 460,353.20/942.01
  6. Step 6: Final answer
    x = 488.69

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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.