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Finding the Fourth Proportional to 943.04, 1,414.74 and 293.64

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Solution

The fourth proportional to 943.04, 1,414.74 and 293.64 is: 440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.04 : 1,414.74 = 293.64 : x
  2. Step 2: Convert to fraction form
    943.04/1,414.74 = 293.64/x
  3. Step 3: Cross multiply
    943.04x = 1,414.74 × 293.64
  4. Step 4: Simplify right side
    943.04x = 415,424.25
  5. Step 5: Solve for x
    x = 415,424.25/943.04
  6. Step 6: Final answer
    x = 440.52

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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.