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Finding the Fourth Proportional to 319.74, 479.43 and 114.27

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Solution

The fourth proportional to 319.74, 479.43 and 114.27 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.74 : 479.43 = 114.27 : x
  2. Step 2: Convert to fraction form
    319.74/479.43 = 114.27/x
  3. Step 3: Cross multiply
    319.74x = 479.43 × 114.27
  4. Step 4: Simplify right side
    319.74x = 54,784.47
  5. Step 5: Solve for x
    x = 54,784.47/319.74
  6. Step 6: Final answer
    x = 171.34

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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.