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Finding the Fourth Proportional to 389.14, 536.96 and 214.47

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Solution

The fourth proportional to 389.14, 536.96 and 214.47 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 536.96 = 214.47 : x
  2. Step 2: Convert to fraction form
    389.14/536.96 = 214.47/x
  3. Step 3: Cross multiply
    389.14x = 536.96 × 214.47
  4. Step 4: Simplify right side
    389.14x = 115,162.35
  5. Step 5: Solve for x
    x = 115,162.35/389.14
  6. Step 6: Final answer
    x = 295.94

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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.