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Finding the Fourth Proportional to 389.41, 537.38 and 234.16

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Solution

The fourth proportional to 389.41, 537.38 and 234.16 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.41 : 537.38 = 234.16 : x
  2. Step 2: Convert to fraction form
    389.41/537.38 = 234.16/x
  3. Step 3: Cross multiply
    389.41x = 537.38 × 234.16
  4. Step 4: Simplify right side
    389.41x = 125,832.90
  5. Step 5: Solve for x
    x = 125,832.90/389.41
  6. Step 6: Final answer
    x = 323.14

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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.