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Finding the Fourth Proportional to 358.34, 537.71 and 213.75

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Solution

The fourth proportional to 358.34, 537.71 and 213.75 is: 320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 537.71 = 213.75 : x
  2. Step 2: Convert to fraction form
    358.34/537.71 = 213.75/x
  3. Step 3: Cross multiply
    358.34x = 537.71 × 213.75
  4. Step 4: Simplify right side
    358.34x = 114,934.44
  5. Step 5: Solve for x
    x = 114,934.44/358.34
  6. Step 6: Final answer
    x = 320.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.