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Finding the Fourth Proportional to 457.21, 685.78 and 179.64

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Solution

The fourth proportional to 457.21, 685.78 and 179.64 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.21 : 685.78 = 179.64 : x
  2. Step 2: Convert to fraction form
    457.21/685.78 = 179.64/x
  3. Step 3: Cross multiply
    457.21x = 685.78 × 179.64
  4. Step 4: Simplify right side
    457.21x = 123,193.07
  5. Step 5: Solve for x
    x = 123,193.07/457.21
  6. Step 6: Final answer
    x = 269.44

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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.