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Finding the Fourth Proportional to 681.30, 938.42 and 533.66

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Solution

The fourth proportional to 681.30, 938.42 and 533.66 is: 735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.30 : 938.42 = 533.66 : x
  2. Step 2: Convert to fraction form
    681.30/938.42 = 533.66/x
  3. Step 3: Cross multiply
    681.30x = 938.42 × 533.66
  4. Step 4: Simplify right side
    681.30x = 500,797.22
  5. Step 5: Solve for x
    x = 500,797.22/681.30
  6. Step 6: Final answer
    x = 735.06

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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.