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Finding the Fourth Proportional to 941.47, 1,412.30 and 292.25

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Solution

The fourth proportional to 941.47, 1,412.30 and 292.25 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.47 : 1,412.30 = 292.25 : x
  2. Step 2: Convert to fraction form
    941.47/1,412.30 = 292.25/x
  3. Step 3: Cross multiply
    941.47x = 1,412.30 × 292.25
  4. Step 4: Simplify right side
    941.47x = 412,748.94
  5. Step 5: Solve for x
    x = 412,748.94/941.47
  6. Step 6: Final answer
    x = 438.41

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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.