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Finding the Fourth Proportional to 372.81, 513.96 and 293.82

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Solution

The fourth proportional to 372.81, 513.96 and 293.82 is: 405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.81 : 513.96 = 293.82 : x
  2. Step 2: Convert to fraction form
    372.81/513.96 = 293.82/x
  3. Step 3: Cross multiply
    372.81x = 513.96 × 293.82
  4. Step 4: Simplify right side
    372.81x = 151,011.73
  5. Step 5: Solve for x
    x = 151,011.73/372.81
  6. Step 6: Final answer
    x = 405.06

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Why These Related Problems?

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