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Finding the Fourth Proportional to 682.32, 941.42 and 387.50

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Solution

The fourth proportional to 682.32, 941.42 and 387.50 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.32 : 941.42 = 387.50 : x
  2. Step 2: Convert to fraction form
    682.32/941.42 = 387.50/x
  3. Step 3: Cross multiply
    682.32x = 941.42 × 387.50
  4. Step 4: Simplify right side
    682.32x = 364,800.25
  5. Step 5: Solve for x
    x = 364,800.25/682.32
  6. Step 6: Final answer
    x = 534.65

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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.