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Finding the Fourth Proportional to 683.32, 1,024.72 and 272.24

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Solution

The fourth proportional to 683.32, 1,024.72 and 272.24 is: 408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.32 : 1,024.72 = 272.24 : x
  2. Step 2: Convert to fraction form
    683.32/1,024.72 = 272.24/x
  3. Step 3: Cross multiply
    683.32x = 1,024.72 × 272.24
  4. Step 4: Simplify right side
    683.32x = 278,969.77
  5. Step 5: Solve for x
    x = 278,969.77/683.32
  6. Step 6: Final answer
    x = 408.26

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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.