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Finding the Fourth Proportional to 683.39, 942.63 and 473.46

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Solution

The fourth proportional to 683.39, 942.63 and 473.46 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.39 : 942.63 = 473.46 : x
  2. Step 2: Convert to fraction form
    683.39/942.63 = 473.46/x
  3. Step 3: Cross multiply
    683.39x = 942.63 × 473.46
  4. Step 4: Simplify right side
    683.39x = 446,297.60
  5. Step 5: Solve for x
    x = 446,297.60/683.39
  6. Step 6: Final answer
    x = 653.07

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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.