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Finding the Fourth Proportional to 681.63, 940.56 and 432.51

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Solution

The fourth proportional to 681.63, 940.56 and 432.51 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.63 : 940.56 = 432.51 : x
  2. Step 2: Convert to fraction form
    681.63/940.56 = 432.51/x
  3. Step 3: Cross multiply
    681.63x = 940.56 × 432.51
  4. Step 4: Simplify right side
    681.63x = 406,801.61
  5. Step 5: Solve for x
    x = 406,801.61/681.63
  6. Step 6: Final answer
    x = 596.81

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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.