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Finding the Fourth Proportional to 681.13, 940.40 and 468.80

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Solution

The fourth proportional to 681.13, 940.40 and 468.80 is: 647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.13 : 940.40 = 468.80 : x
  2. Step 2: Convert to fraction form
    681.13/940.40 = 468.80/x
  3. Step 3: Cross multiply
    681.13x = 940.40 × 468.80
  4. Step 4: Simplify right side
    681.13x = 440,857.76
  5. Step 5: Solve for x
    x = 440,857.76/681.13
  6. Step 6: Final answer
    x = 647.24

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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.