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Finding the Fourth Proportional to 941.54, 1,412.26 and 292.20

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Solution

The fourth proportional to 941.54, 1,412.26 and 292.20 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.54 : 1,412.26 = 292.20 : x
  2. Step 2: Convert to fraction form
    941.54/1,412.26 = 292.20/x
  3. Step 3: Cross multiply
    941.54x = 1,412.26 × 292.20
  4. Step 4: Simplify right side
    941.54x = 412,662.37
  5. Step 5: Solve for x
    x = 412,662.37/941.54
  6. Step 6: Final answer
    x = 438.28

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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.