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Finding the Fourth Proportional to 849.88, 1,274.91 and 302.11

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Solution

The fourth proportional to 849.88, 1,274.91 and 302.11 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.88 : 1,274.91 = 302.11 : x
  2. Step 2: Convert to fraction form
    849.88/1,274.91 = 302.11/x
  3. Step 3: Cross multiply
    849.88x = 1,274.91 × 302.11
  4. Step 4: Simplify right side
    849.88x = 385,163.06
  5. Step 5: Solve for x
    x = 385,163.06/849.88
  6. Step 6: Final answer
    x = 453.20

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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.