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Finding the Fourth Proportional to 389.91, 538.16 and 234.75

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Solution

The fourth proportional to 389.91, 538.16 and 234.75 is: 324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.91 : 538.16 = 234.75 : x
  2. Step 2: Convert to fraction form
    389.91/538.16 = 234.75/x
  3. Step 3: Cross multiply
    389.91x = 538.16 × 234.75
  4. Step 4: Simplify right side
    389.91x = 126,331.89
  5. Step 5: Solve for x
    x = 126,331.89/389.91
  6. Step 6: Final answer
    x = 324.00

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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.