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Finding the Fourth Proportional to 389.05, 536.86 and 214.39

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Solution

The fourth proportional to 389.05, 536.86 and 214.39 is: 295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.05 : 536.86 = 214.39 : x
  2. Step 2: Convert to fraction form
    389.05/536.86 = 214.39/x
  3. Step 3: Cross multiply
    389.05x = 536.86 × 214.39
  4. Step 4: Simplify right side
    389.05x = 115,098.35
  5. Step 5: Solve for x
    x = 115,098.35/389.05
  6. Step 6: Final answer
    x = 295.85

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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.