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Finding the Fourth Proportional to 943.99, 1,416.80 and 367.27

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Solution

The fourth proportional to 943.99, 1,416.80 and 367.27 is: 551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.99 : 1,416.80 = 367.27 : x
  2. Step 2: Convert to fraction form
    943.99/1,416.80 = 367.27/x
  3. Step 3: Cross multiply
    943.99x = 1,416.80 × 367.27
  4. Step 4: Simplify right side
    943.99x = 520,348.14
  5. Step 5: Solve for x
    x = 520,348.14/943.99
  6. Step 6: Final answer
    x = 551.22

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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.