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Finding the Fourth Proportional to 709.56, 979.29 and 448.34

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Solution

The fourth proportional to 709.56, 979.29 and 448.34 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.56 : 979.29 = 448.34 : x
  2. Step 2: Convert to fraction form
    709.56/979.29 = 448.34/x
  3. Step 3: Cross multiply
    709.56x = 979.29 × 448.34
  4. Step 4: Simplify right side
    709.56x = 439,049.98
  5. Step 5: Solve for x
    x = 439,049.98/709.56
  6. Step 6: Final answer
    x = 618.76

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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.