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Finding the Fourth Proportional to 681.14, 938.81 and 456.66

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Solution

The fourth proportional to 681.14, 938.81 and 456.66 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.14 : 938.81 = 456.66 : x
  2. Step 2: Convert to fraction form
    681.14/938.81 = 456.66/x
  3. Step 3: Cross multiply
    681.14x = 938.81 × 456.66
  4. Step 4: Simplify right side
    681.14x = 428,718.12
  5. Step 5: Solve for x
    x = 428,718.12/681.14
  6. Step 6: Final answer
    x = 629.41

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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.