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Finding the Fourth Proportional to 389.30, 536.97 and 234.08

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Solution

The fourth proportional to 389.30, 536.97 and 234.08 is: 322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 536.97 = 234.08 : x
  2. Step 2: Convert to fraction form
    389.30/536.97 = 234.08/x
  3. Step 3: Cross multiply
    389.30x = 536.97 × 234.08
  4. Step 4: Simplify right side
    389.30x = 125,693.94
  5. Step 5: Solve for x
    x = 125,693.94/389.30
  6. Step 6: Final answer
    x = 322.87

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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.