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Finding the Fourth Proportional to 389.01, 536.84 and 214.37

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Solution

The fourth proportional to 389.01, 536.84 and 214.37 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 536.84 = 214.37 : x
  2. Step 2: Convert to fraction form
    389.01/536.84 = 214.37/x
  3. Step 3: Cross multiply
    389.01x = 536.84 × 214.37
  4. Step 4: Simplify right side
    389.01x = 115,078.63
  5. Step 5: Solve for x
    x = 115,078.63/389.01
  6. Step 6: Final answer
    x = 295.82

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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.