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Finding the Fourth Proportional to 942.41, 1,413.61 and 325.77

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Solution

The fourth proportional to 942.41, 1,413.61 and 325.77 is: 488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.41 : 1,413.61 = 325.77 : x
  2. Step 2: Convert to fraction form
    942.41/1,413.61 = 325.77/x
  3. Step 3: Cross multiply
    942.41x = 1,413.61 × 325.77
  4. Step 4: Simplify right side
    942.41x = 460,514.45
  5. Step 5: Solve for x
    x = 460,514.45/942.41
  6. Step 6: Final answer
    x = 488.66

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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.