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Finding the Fourth Proportional to 681.38, 940.01 and 460.25

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Solution

The fourth proportional to 681.38, 940.01 and 460.25 is: 634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.38 : 940.01 = 460.25 : x
  2. Step 2: Convert to fraction form
    681.38/940.01 = 460.25/x
  3. Step 3: Cross multiply
    681.38x = 940.01 × 460.25
  4. Step 4: Simplify right side
    681.38x = 432,636.13
  5. Step 5: Solve for x
    x = 432,636.13/681.38
  6. Step 6: Final answer
    x = 634.94

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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.