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Finding the Fourth Proportional to 942.34, 1,413.67 and 293.23

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Solution

The fourth proportional to 942.34, 1,413.67 and 293.23 is: 439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.34 : 1,413.67 = 293.23 : x
  2. Step 2: Convert to fraction form
    942.34/1,413.67 = 293.23/x
  3. Step 3: Cross multiply
    942.34x = 1,413.67 × 293.23
  4. Step 4: Simplify right side
    942.34x = 414,530.45
  5. Step 5: Solve for x
    x = 414,530.45/942.34
  6. Step 6: Final answer
    x = 439.89

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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.