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Finding the Fourth Proportional to 683.31, 1,024.91 and 354.23

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Solution

The fourth proportional to 683.31, 1,024.91 and 354.23 is: 531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.31 : 1,024.91 = 354.23 : x
  2. Step 2: Convert to fraction form
    683.31/1,024.91 = 354.23/x
  3. Step 3: Cross multiply
    683.31x = 1,024.91 × 354.23
  4. Step 4: Simplify right side
    683.31x = 363,054.66
  5. Step 5: Solve for x
    x = 363,054.66/683.31
  6. Step 6: Final answer
    x = 531.32

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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.