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Finding the Fourth Proportional to 683.01, 943.34 and 461.58

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Solution

The fourth proportional to 683.01, 943.34 and 461.58 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.01 : 943.34 = 461.58 : x
  2. Step 2: Convert to fraction form
    683.01/943.34 = 461.58/x
  3. Step 3: Cross multiply
    683.01x = 943.34 × 461.58
  4. Step 4: Simplify right side
    683.01x = 435,424.57
  5. Step 5: Solve for x
    x = 435,424.57/683.01
  6. Step 6: Final answer
    x = 637.51

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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.