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Finding the Fourth Proportional to 941.05, 1,410.71 and 363.49

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Solution

The fourth proportional to 941.05, 1,410.71 and 363.49 is: 544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.05 : 1,410.71 = 363.49 : x
  2. Step 2: Convert to fraction form
    941.05/1,410.71 = 363.49/x
  3. Step 3: Cross multiply
    941.05x = 1,410.71 × 363.49
  4. Step 4: Simplify right side
    941.05x = 512,778.98
  5. Step 5: Solve for x
    x = 512,778.98/941.05
  6. Step 6: Final answer
    x = 544.90

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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.