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Finding the Fourth Proportional to 941.61, 1,412.33 and 292.34

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Solution

The fourth proportional to 941.61, 1,412.33 and 292.34 is: 438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.61 : 1,412.33 = 292.34 : x
  2. Step 2: Convert to fraction form
    941.61/1,412.33 = 292.34/x
  3. Step 3: Cross multiply
    941.61x = 1,412.33 × 292.34
  4. Step 4: Simplify right side
    941.61x = 412,872.03
  5. Step 5: Solve for x
    x = 412,872.03/941.61
  6. Step 6: Final answer
    x = 438.47

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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.