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Finding the Fourth Proportional to 683, 1,024.68 and 298.16

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Solution

The fourth proportional to 683, 1,024.68 and 298.16 is: 447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 1,024.68 = 298.16 : x
  2. Step 2: Convert to fraction form
    683/1,024.68 = 298.16/x
  3. Step 3: Cross multiply
    683x = 1,024.68 × 298.16
  4. Step 4: Simplify right side
    683x = 305,518.59
  5. Step 5: Solve for x
    x = 305,518.59/683
  6. Step 6: Final answer
    x = 447.32

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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.