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Finding the Fourth Proportional to 942.45, 1,413.93 and 293.16

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Solution

The fourth proportional to 942.45, 1,413.93 and 293.16 is: 439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.45 : 1,413.93 = 293.16 : x
  2. Step 2: Convert to fraction form
    942.45/1,413.93 = 293.16/x
  3. Step 3: Cross multiply
    942.45x = 1,413.93 × 293.16
  4. Step 4: Simplify right side
    942.45x = 414,507.72
  5. Step 5: Solve for x
    x = 414,507.72/942.45
  6. Step 6: Final answer
    x = 439.82

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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.