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Finding the Fourth Proportional to 457.06, 685.29 and 164.41

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Solution

The fourth proportional to 457.06, 685.29 and 164.41 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 685.29 = 164.41 : x
  2. Step 2: Convert to fraction form
    457.06/685.29 = 164.41/x
  3. Step 3: Cross multiply
    457.06x = 685.29 × 164.41
  4. Step 4: Simplify right side
    457.06x = 112,669.42
  5. Step 5: Solve for x
    x = 112,669.42/457.06
  6. Step 6: Final answer
    x = 246.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.