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Finding the Fourth Proportional to 372.12, 512.94 and 298.20

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Solution

The fourth proportional to 372.12, 512.94 and 298.20 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 512.94 = 298.20 : x
  2. Step 2: Convert to fraction form
    372.12/512.94 = 298.20/x
  3. Step 3: Cross multiply
    372.12x = 512.94 × 298.20
  4. Step 4: Simplify right side
    372.12x = 152,958.71
  5. Step 5: Solve for x
    x = 152,958.71/372.12
  6. Step 6: Final answer
    x = 411.05

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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.