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Finding the Fourth Proportional to 683.67, 1,024.70 and 336.24

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Solution

The fourth proportional to 683.67, 1,024.70 and 336.24 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.67 : 1,024.70 = 336.24 : x
  2. Step 2: Convert to fraction form
    683.67/1,024.70 = 336.24/x
  3. Step 3: Cross multiply
    683.67x = 1,024.70 × 336.24
  4. Step 4: Simplify right side
    683.67x = 344,543.45
  5. Step 5: Solve for x
    x = 344,543.45/683.67
  6. Step 6: Final answer
    x = 503.96

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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.