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Finding the Fourth Proportional to 457.14, 685.44 and 183.24

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Solution

The fourth proportional to 457.14, 685.44 and 183.24 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.14 : 685.44 = 183.24 : x
  2. Step 2: Convert to fraction form
    457.14/685.44 = 183.24/x
  3. Step 3: Cross multiply
    457.14x = 685.44 × 183.24
  4. Step 4: Simplify right side
    457.14x = 125,600.03
  5. Step 5: Solve for x
    x = 125,600.03/457.14
  6. Step 6: Final answer
    x = 274.75

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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.