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Finding the Fourth Proportional to 942.82, 1,414.40 and 293.41

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Solution

The fourth proportional to 942.82, 1,414.40 and 293.41 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.82 : 1,414.40 = 293.41 : x
  2. Step 2: Convert to fraction form
    942.82/1,414.40 = 293.41/x
  3. Step 3: Cross multiply
    942.82x = 1,414.40 × 293.41
  4. Step 4: Simplify right side
    942.82x = 414,999.10
  5. Step 5: Solve for x
    x = 414,999.10/942.82
  6. Step 6: Final answer
    x = 440.17

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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.