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Finding the Fourth Proportional to 389.26, 537.19 and 214.60

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Solution

The fourth proportional to 389.26, 537.19 and 214.60 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.26 : 537.19 = 214.60 : x
  2. Step 2: Convert to fraction form
    389.26/537.19 = 214.60/x
  3. Step 3: Cross multiply
    389.26x = 537.19 × 214.60
  4. Step 4: Simplify right side
    389.26x = 115,280.97
  5. Step 5: Solve for x
    x = 115,280.97/389.26
  6. Step 6: Final answer
    x = 296.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.