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Finding the Fourth Proportional to 372.49, 513.96 and 215.07

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Solution

The fourth proportional to 372.49, 513.96 and 215.07 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.49 : 513.96 = 215.07 : x
  2. Step 2: Convert to fraction form
    372.49/513.96 = 215.07/x
  3. Step 3: Cross multiply
    372.49x = 513.96 × 215.07
  4. Step 4: Simplify right side
    372.49x = 110,537.38
  5. Step 5: Solve for x
    x = 110,537.38/372.49
  6. Step 6: Final answer
    x = 296.76

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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.