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Finding the Fourth Proportional to 372.14, 513.64 and 292.22

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Solution

The fourth proportional to 372.14, 513.64 and 292.22 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.14 : 513.64 = 292.22 : x
  2. Step 2: Convert to fraction form
    372.14/513.64 = 292.22/x
  3. Step 3: Cross multiply
    372.14x = 513.64 × 292.22
  4. Step 4: Simplify right side
    372.14x = 150,095.88
  5. Step 5: Solve for x
    x = 150,095.88/372.14
  6. Step 6: Final answer
    x = 403.33

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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.