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Finding the Fourth Proportional to 681.48, 940.41 and 386.71

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Solution

The fourth proportional to 681.48, 940.41 and 386.71 is: 533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.48 : 940.41 = 386.71 : x
  2. Step 2: Convert to fraction form
    681.48/940.41 = 386.71/x
  3. Step 3: Cross multiply
    681.48x = 940.41 × 386.71
  4. Step 4: Simplify right side
    681.48x = 363,663.60
  5. Step 5: Solve for x
    x = 363,663.60/681.48
  6. Step 6: Final answer
    x = 533.64

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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.