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Finding the Fourth Proportional to 719.55, 1,078.42 and 308.20

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Solution

The fourth proportional to 719.55, 1,078.42 and 308.20 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.55 : 1,078.42 = 308.20 : x
  2. Step 2: Convert to fraction form
    719.55/1,078.42 = 308.20/x
  3. Step 3: Cross multiply
    719.55x = 1,078.42 × 308.20
  4. Step 4: Simplify right side
    719.55x = 332,369.62
  5. Step 5: Solve for x
    x = 332,369.62/719.55
  6. Step 6: Final answer
    x = 461.92

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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.