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Finding the Fourth Proportional to 389.00, 536.81 and 214.34

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Solution

The fourth proportional to 389.00, 536.81 and 214.34 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.00 : 536.81 = 214.34 : x
  2. Step 2: Convert to fraction form
    389.00/536.81 = 214.34/x
  3. Step 3: Cross multiply
    389.00x = 536.81 × 214.34
  4. Step 4: Simplify right side
    389.00x = 115,056.10
  5. Step 5: Solve for x
    x = 115,056.10/389.00
  6. Step 6: Final answer
    x = 295.78

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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.