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Finding the Fourth Proportional to 389.60, 537.64 and 214.94

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Solution

The fourth proportional to 389.60, 537.64 and 214.94 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 537.64 = 214.94 : x
  2. Step 2: Convert to fraction form
    389.60/537.64 = 214.94/x
  3. Step 3: Cross multiply
    389.60x = 537.64 × 214.94
  4. Step 4: Simplify right side
    389.60x = 115,559.00
  5. Step 5: Solve for x
    x = 115,559.00/389.60
  6. Step 6: Final answer
    x = 296.61

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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.