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Finding the Fourth Proportional to 682.10, 941.04 and 460.70

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Solution

The fourth proportional to 682.10, 941.04 and 460.70 is: 635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 941.04 = 460.70 : x
  2. Step 2: Convert to fraction form
    682.10/941.04 = 460.70/x
  3. Step 3: Cross multiply
    682.10x = 941.04 × 460.70
  4. Step 4: Simplify right side
    682.10x = 433,532.42
  5. Step 5: Solve for x
    x = 433,532.42/682.10
  6. Step 6: Final answer
    x = 635.59

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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.