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Finding the Fourth Proportional to 682.23, 941.43 and 387.63

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Solution

The fourth proportional to 682.23, 941.43 and 387.63 is: 534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 941.43 = 387.63 : x
  2. Step 2: Convert to fraction form
    682.23/941.43 = 387.63/x
  3. Step 3: Cross multiply
    682.23x = 941.43 × 387.63
  4. Step 4: Simplify right side
    682.23x = 364,926.51
  5. Step 5: Solve for x
    x = 364,926.51/682.23
  6. Step 6: Final answer
    x = 534.90

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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.