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Finding the Fourth Proportional to 372.34, 513.83 and 217.09

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Solution

The fourth proportional to 372.34, 513.83 and 217.09 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.34 : 513.83 = 217.09 : x
  2. Step 2: Convert to fraction form
    372.34/513.83 = 217.09/x
  3. Step 3: Cross multiply
    372.34x = 513.83 × 217.09
  4. Step 4: Simplify right side
    372.34x = 111,547.35
  5. Step 5: Solve for x
    x = 111,547.35/372.34
  6. Step 6: Final answer
    x = 299.58

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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.