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Finding the Fourth Proportional to 682.46, 941.44 and 472.85

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Solution

The fourth proportional to 682.46, 941.44 and 472.85 is: 652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 941.44 = 472.85 : x
  2. Step 2: Convert to fraction form
    682.46/941.44 = 472.85/x
  3. Step 3: Cross multiply
    682.46x = 941.44 × 472.85
  4. Step 4: Simplify right side
    682.46x = 445,159.90
  5. Step 5: Solve for x
    x = 445,159.90/682.46
  6. Step 6: Final answer
    x = 652.29

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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.