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Finding the Fourth Proportional to 683.76, 1,025.10 and 299.28

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Solution

The fourth proportional to 683.76, 1,025.10 and 299.28 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 1,025.10 = 299.28 : x
  2. Step 2: Convert to fraction form
    683.76/1,025.10 = 299.28/x
  3. Step 3: Cross multiply
    683.76x = 1,025.10 × 299.28
  4. Step 4: Simplify right side
    683.76x = 306,791.93
  5. Step 5: Solve for x
    x = 306,791.93/683.76
  6. Step 6: Final answer
    x = 448.68

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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.