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Finding the Fourth Proportional to 711.88, 982.02 and 449.44

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Solution

The fourth proportional to 711.88, 982.02 and 449.44 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 982.02 = 449.44 : x
  2. Step 2: Convert to fraction form
    711.88/982.02 = 449.44/x
  3. Step 3: Cross multiply
    711.88x = 982.02 × 449.44
  4. Step 4: Simplify right side
    711.88x = 441,359.07
  5. Step 5: Solve for x
    x = 441,359.07/711.88
  6. Step 6: Final answer
    x = 619.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.