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Finding the Fourth Proportional to 681.01, 939.40 and 432.14

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Solution

The fourth proportional to 681.01, 939.40 and 432.14 is: 596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.01 : 939.40 = 432.14 : x
  2. Step 2: Convert to fraction form
    681.01/939.40 = 432.14/x
  3. Step 3: Cross multiply
    681.01x = 939.40 × 432.14
  4. Step 4: Simplify right side
    681.01x = 405,946.54
  5. Step 5: Solve for x
    x = 405,946.54/681.01
  6. Step 6: Final answer
    x = 596.10

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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.