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Finding the Fourth Proportional to 358.86, 537.46 and 214.26

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Solution

The fourth proportional to 358.86, 537.46 and 214.26 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.86 : 537.46 = 214.26 : x
  2. Step 2: Convert to fraction form
    358.86/537.46 = 214.26/x
  3. Step 3: Cross multiply
    358.86x = 537.46 × 214.26
  4. Step 4: Simplify right side
    358.86x = 115,156.18
  5. Step 5: Solve for x
    x = 115,156.18/358.86
  6. Step 6: Final answer
    x = 320.89

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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.