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Finding the Fourth Proportional to 372.06, 512.34 and 319.20

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Solution

The fourth proportional to 372.06, 512.34 and 319.20 is: 439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 512.34 = 319.20 : x
  2. Step 2: Convert to fraction form
    372.06/512.34 = 319.20/x
  3. Step 3: Cross multiply
    372.06x = 512.34 × 319.20
  4. Step 4: Simplify right side
    372.06x = 163,538.93
  5. Step 5: Solve for x
    x = 163,538.93/372.06
  6. Step 6: Final answer
    x = 439.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.