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Finding the Fourth Proportional to 681.90, 940.68 and 432.81

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Solution

The fourth proportional to 681.90, 940.68 and 432.81 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 940.68 = 432.81 : x
  2. Step 2: Convert to fraction form
    681.90/940.68 = 432.81/x
  3. Step 3: Cross multiply
    681.90x = 940.68 × 432.81
  4. Step 4: Simplify right side
    681.90x = 407,135.71
  5. Step 5: Solve for x
    x = 407,135.71/681.90
  6. Step 6: Final answer
    x = 597.06

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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.