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Finding the Fourth Proportional to 681.79, 940.22 and 458.23

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Solution

The fourth proportional to 681.79, 940.22 and 458.23 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.79 : 940.22 = 458.23 : x
  2. Step 2: Convert to fraction form
    681.79/940.22 = 458.23/x
  3. Step 3: Cross multiply
    681.79x = 940.22 × 458.23
  4. Step 4: Simplify right side
    681.79x = 430,837.01
  5. Step 5: Solve for x
    x = 430,837.01/681.79
  6. Step 6: Final answer
    x = 631.92

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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.