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Finding the Fourth Proportional to 319.72, 479.44 and 127.32

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Solution

The fourth proportional to 319.72, 479.44 and 127.32 is: 190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.72 : 479.44 = 127.32 : x
  2. Step 2: Convert to fraction form
    319.72/479.44 = 127.32/x
  3. Step 3: Cross multiply
    319.72x = 479.44 × 127.32
  4. Step 4: Simplify right side
    319.72x = 61,042.30
  5. Step 5: Solve for x
    x = 61,042.30/319.72
  6. Step 6: Final answer
    x = 190.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.