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Finding the Fourth Proportional to 709.36, 1,064 and 343.92

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Solution

The fourth proportional to 709.36, 1,064 and 343.92 is: 515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.36 : 1,064 = 343.92 : x
  2. Step 2: Convert to fraction form
    709.36/1,064 = 343.92/x
  3. Step 3: Cross multiply
    709.36x = 1,064 × 343.92
  4. Step 4: Simplify right side
    709.36x = 365,930.88
  5. Step 5: Solve for x
    x = 365,930.88/709.36
  6. Step 6: Final answer
    x = 515.86

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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.