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Finding the Fourth Proportional to 681.77, 940.44 and 429.29

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Solution

The fourth proportional to 681.77, 940.44 and 429.29 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.77 : 940.44 = 429.29 : x
  2. Step 2: Convert to fraction form
    681.77/940.44 = 429.29/x
  3. Step 3: Cross multiply
    681.77x = 940.44 × 429.29
  4. Step 4: Simplify right side
    681.77x = 403,721.49
  5. Step 5: Solve for x
    x = 403,721.49/681.77
  6. Step 6: Final answer
    x = 592.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.