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Finding the Fourth Proportional to 457.02, 685.17 and 327.06

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Solution

The fourth proportional to 457.02, 685.17 and 327.06 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.02 : 685.17 = 327.06 : x
  2. Step 2: Convert to fraction form
    457.02/685.17 = 327.06/x
  3. Step 3: Cross multiply
    457.02x = 685.17 × 327.06
  4. Step 4: Simplify right side
    457.02x = 224,091.70
  5. Step 5: Solve for x
    x = 224,091.70/457.02
  6. Step 6: Final answer
    x = 490.33

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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.