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Finding the Fourth Proportional to 683.23, 1,024.32 and 353.81

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Solution

The fourth proportional to 683.23, 1,024.32 and 353.81 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.23 : 1,024.32 = 353.81 : x
  2. Step 2: Convert to fraction form
    683.23/1,024.32 = 353.81/x
  3. Step 3: Cross multiply
    683.23x = 1,024.32 × 353.81
  4. Step 4: Simplify right side
    683.23x = 362,414.66
  5. Step 5: Solve for x
    x = 362,414.66/683.23
  6. Step 6: Final answer
    x = 530.44

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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.