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Finding the Fourth Proportional to 683.57, 942.23 and 462.44

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Solution

The fourth proportional to 683.57, 942.23 and 462.44 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 942.23 = 462.44 : x
  2. Step 2: Convert to fraction form
    683.57/942.23 = 462.44/x
  3. Step 3: Cross multiply
    683.57x = 942.23 × 462.44
  4. Step 4: Simplify right side
    683.57x = 435,722.53
  5. Step 5: Solve for x
    x = 435,722.53/683.57
  6. Step 6: Final answer
    x = 637.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.