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Finding the Fourth Proportional to 942.03, 1,413.45 and 325.82

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Solution

The fourth proportional to 942.03, 1,413.45 and 325.82 is: 488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.03 : 1,413.45 = 325.82 : x
  2. Step 2: Convert to fraction form
    942.03/1,413.45 = 325.82/x
  3. Step 3: Cross multiply
    942.03x = 1,413.45 × 325.82
  4. Step 4: Simplify right side
    942.03x = 460,533.81
  5. Step 5: Solve for x
    x = 460,533.81/942.03
  6. Step 6: Final answer
    x = 488.87

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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.