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Finding the Fourth Proportional to 683.12, 942.30 and 496.36

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Solution

The fourth proportional to 683.12, 942.30 and 496.36 is: 684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.12 : 942.30 = 496.36 : x
  2. Step 2: Convert to fraction form
    683.12/942.30 = 496.36/x
  3. Step 3: Cross multiply
    683.12x = 942.30 × 496.36
  4. Step 4: Simplify right side
    683.12x = 467,720.03
  5. Step 5: Solve for x
    x = 467,720.03/683.12
  6. Step 6: Final answer
    x = 684.68

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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.