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Finding the Fourth Proportional to 941.49, 1,412.42 and 292.07

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Solution

The fourth proportional to 941.49, 1,412.42 and 292.07 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.49 : 1,412.42 = 292.07 : x
  2. Step 2: Convert to fraction form
    941.49/1,412.42 = 292.07/x
  3. Step 3: Cross multiply
    941.49x = 1,412.42 × 292.07
  4. Step 4: Simplify right side
    941.49x = 412,527.58
  5. Step 5: Solve for x
    x = 412,527.58/941.49
  6. Step 6: Final answer
    x = 438.16

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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.