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Finding the Fourth Proportional to 389.63, 537.70 and 214.99

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Solution

The fourth proportional to 389.63, 537.70 and 214.99 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 537.70 = 214.99 : x
  2. Step 2: Convert to fraction form
    389.63/537.70 = 214.99/x
  3. Step 3: Cross multiply
    389.63x = 537.70 × 214.99
  4. Step 4: Simplify right side
    389.63x = 115,600.12
  5. Step 5: Solve for x
    x = 115,600.12/389.63
  6. Step 6: Final answer
    x = 296.69

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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.