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Finding the Fourth Proportional to 373.24, 513.76 and 323.92

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Solution

The fourth proportional to 373.24, 513.76 and 323.92 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.24 : 513.76 = 323.92 : x
  2. Step 2: Convert to fraction form
    373.24/513.76 = 323.92/x
  3. Step 3: Cross multiply
    373.24x = 513.76 × 323.92
  4. Step 4: Simplify right side
    373.24x = 166,417.14
  5. Step 5: Solve for x
    x = 166,417.14/373.24
  6. Step 6: Final answer
    x = 445.87

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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.