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Finding the Fourth Proportional to 389.34, 537.30 and 214.70

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Solution

The fourth proportional to 389.34, 537.30 and 214.70 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 537.30 = 214.70 : x
  2. Step 2: Convert to fraction form
    389.34/537.30 = 214.70/x
  3. Step 3: Cross multiply
    389.34x = 537.30 × 214.70
  4. Step 4: Simplify right side
    389.34x = 115,355.62
  5. Step 5: Solve for x
    x = 115,355.62/389.34
  6. Step 6: Final answer
    x = 296.29

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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.