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Finding the Fourth Proportional to 389.13, 536.99 and 214.47

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Solution

The fourth proportional to 389.13, 536.99 and 214.47 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.13 : 536.99 = 214.47 : x
  2. Step 2: Convert to fraction form
    389.13/536.99 = 214.47/x
  3. Step 3: Cross multiply
    389.13x = 536.99 × 214.47
  4. Step 4: Simplify right side
    389.13x = 115,168.25
  5. Step 5: Solve for x
    x = 115,168.25/389.13
  6. Step 6: Final answer
    x = 295.96

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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.