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Finding the Fourth Proportional to 719, 1,078.38 and 308.36

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Solution

The fourth proportional to 719, 1,078.38 and 308.36 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719 : 1,078.38 = 308.36 : x
  2. Step 2: Convert to fraction form
    719/1,078.38 = 308.36/x
  3. Step 3: Cross multiply
    719x = 1,078.38 × 308.36
  4. Step 4: Simplify right side
    719x = 332,529.26
  5. Step 5: Solve for x
    x = 332,529.26/719
  6. Step 6: Final answer
    x = 462.49

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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.