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Finding the Fourth Proportional to 942.34, 1,413.64 and 293.08

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Solution

The fourth proportional to 942.34, 1,413.64 and 293.08 is: 439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.34 : 1,413.64 = 293.08 : x
  2. Step 2: Convert to fraction form
    942.34/1,413.64 = 293.08/x
  3. Step 3: Cross multiply
    942.34x = 1,413.64 × 293.08
  4. Step 4: Simplify right side
    942.34x = 414,309.61
  5. Step 5: Solve for x
    x = 414,309.61/942.34
  6. Step 6: Final answer
    x = 439.66

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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.