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Finding the Fourth Proportional to 682.16, 941.28 and 387.38

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Solution

The fourth proportional to 682.16, 941.28 and 387.38 is: 534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 941.28 = 387.38 : x
  2. Step 2: Convert to fraction form
    682.16/941.28 = 387.38/x
  3. Step 3: Cross multiply
    682.16x = 941.28 × 387.38
  4. Step 4: Simplify right side
    682.16x = 364,633.05
  5. Step 5: Solve for x
    x = 364,633.05/682.16
  6. Step 6: Final answer
    x = 534.53

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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.