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Finding the Fourth Proportional to 942.95, 1,414.43 and 293.69

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Solution

The fourth proportional to 942.95, 1,414.43 and 293.69 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.95 : 1,414.43 = 293.69 : x
  2. Step 2: Convert to fraction form
    942.95/1,414.43 = 293.69/x
  3. Step 3: Cross multiply
    942.95x = 1,414.43 × 293.69
  4. Step 4: Simplify right side
    942.95x = 415,395.41
  5. Step 5: Solve for x
    x = 415,395.41/942.95
  6. Step 6: Final answer
    x = 440.53

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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.