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Finding the Fourth Proportional to 358.59, 537.17 and 214.23

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Solution

The fourth proportional to 358.59, 537.17 and 214.23 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 537.17 = 214.23 : x
  2. Step 2: Convert to fraction form
    358.59/537.17 = 214.23/x
  3. Step 3: Cross multiply
    358.59x = 537.17 × 214.23
  4. Step 4: Simplify right side
    358.59x = 115,076.86
  5. Step 5: Solve for x
    x = 115,076.86/358.59
  6. Step 6: Final answer
    x = 320.91

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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.