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Finding the Fourth Proportional to 683.02, 941.70 and 496.36

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Solution

The fourth proportional to 683.02, 941.70 and 496.36 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.02 : 941.70 = 496.36 : x
  2. Step 2: Convert to fraction form
    683.02/941.70 = 496.36/x
  3. Step 3: Cross multiply
    683.02x = 941.70 × 496.36
  4. Step 4: Simplify right side
    683.02x = 467,422.21
  5. Step 5: Solve for x
    x = 467,422.21/683.02
  6. Step 6: Final answer
    x = 684.35

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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.