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Finding the Fourth Proportional to 372.80, 513.60 and 298.88

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Solution

The fourth proportional to 372.80, 513.60 and 298.88 is: 411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 513.60 = 298.88 : x
  2. Step 2: Convert to fraction form
    372.80/513.60 = 298.88/x
  3. Step 3: Cross multiply
    372.80x = 513.60 × 298.88
  4. Step 4: Simplify right side
    372.80x = 153,504.77
  5. Step 5: Solve for x
    x = 153,504.77/372.80
  6. Step 6: Final answer
    x = 411.76

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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.