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Finding the Fourth Proportional to 683.51, 942.75 and 473.31

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Solution

The fourth proportional to 683.51, 942.75 and 473.31 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.51 : 942.75 = 473.31 : x
  2. Step 2: Convert to fraction form
    683.51/942.75 = 473.31/x
  3. Step 3: Cross multiply
    683.51x = 942.75 × 473.31
  4. Step 4: Simplify right side
    683.51x = 446,213.00
  5. Step 5: Solve for x
    x = 446,213.00/683.51
  6. Step 6: Final answer
    x = 652.83

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