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Finding the Fourth Proportional to 389.46, 537.45 and 214.80

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Solution

The fourth proportional to 389.46, 537.45 and 214.80 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.46 : 537.45 = 214.80 : x
  2. Step 2: Convert to fraction form
    389.46/537.45 = 214.80/x
  3. Step 3: Cross multiply
    389.46x = 537.45 × 214.80
  4. Step 4: Simplify right side
    389.46x = 115,444.26
  5. Step 5: Solve for x
    x = 115,444.26/389.46
  6. Step 6: Final answer
    x = 296.42

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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.