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Finding the Fourth Proportional to 682.46, 941.64 and 472.31

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Solution

The fourth proportional to 682.46, 941.64 and 472.31 is: 651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.46 : 941.64 = 472.31 : x
  2. Step 2: Convert to fraction form
    682.46/941.64 = 472.31/x
  3. Step 3: Cross multiply
    682.46x = 941.64 × 472.31
  4. Step 4: Simplify right side
    682.46x = 444,741.28
  5. Step 5: Solve for x
    x = 444,741.28/682.46
  6. Step 6: Final answer
    x = 651.68

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Why These Related Problems?

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