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Finding the Fourth Proportional to 849.80, 1,274.34 and 322.36

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Solution

The fourth proportional to 849.80, 1,274.34 and 322.36 is: 483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.80 : 1,274.34 = 322.36 : x
  2. Step 2: Convert to fraction form
    849.80/1,274.34 = 322.36/x
  3. Step 3: Cross multiply
    849.80x = 1,274.34 × 322.36
  4. Step 4: Simplify right side
    849.80x = 410,796.24
  5. Step 5: Solve for x
    x = 410,796.24/849.80
  6. Step 6: Final answer
    x = 483.40

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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.