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Finding the Fourth Proportional to 318.53, 439.73 and 243.23

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Solution

The fourth proportional to 318.53, 439.73 and 243.23 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.53 : 439.73 = 243.23 : x
  2. Step 2: Convert to fraction form
    318.53/439.73 = 243.23/x
  3. Step 3: Cross multiply
    318.53x = 439.73 × 243.23
  4. Step 4: Simplify right side
    318.53x = 106,953.03
  5. Step 5: Solve for x
    x = 106,953.03/318.53
  6. Step 6: Final answer
    x = 335.77

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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.