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Finding the Fourth Proportional to 682.23, 941.45 and 387.46

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Solution

The fourth proportional to 682.23, 941.45 and 387.46 is: 534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.23 : 941.45 = 387.46 : x
  2. Step 2: Convert to fraction form
    682.23/941.45 = 387.46/x
  3. Step 3: Cross multiply
    682.23x = 941.45 × 387.46
  4. Step 4: Simplify right side
    682.23x = 364,772.28
  5. Step 5: Solve for x
    x = 364,772.28/682.23
  6. Step 6: Final answer
    x = 534.68

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1.5x scale

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.