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Finding the Fourth Proportional to 389.14, 537.06 and 233.92

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Solution

The fourth proportional to 389.14, 537.06 and 233.92 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 537.06 = 233.92 : x
  2. Step 2: Convert to fraction form
    389.14/537.06 = 233.92/x
  3. Step 3: Cross multiply
    389.14x = 537.06 × 233.92
  4. Step 4: Simplify right side
    389.14x = 125,629.08
  5. Step 5: Solve for x
    x = 125,629.08/389.14
  6. Step 6: Final answer
    x = 322.84

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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.