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Finding the Fourth Proportional to 389.76, 537.86 and 234.50

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Solution

The fourth proportional to 389.76, 537.86 and 234.50 is: 323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 537.86 = 234.50 : x
  2. Step 2: Convert to fraction form
    389.76/537.86 = 234.50/x
  3. Step 3: Cross multiply
    389.76x = 537.86 × 234.50
  4. Step 4: Simplify right side
    389.76x = 126,128.17
  5. Step 5: Solve for x
    x = 126,128.17/389.76
  6. Step 6: Final answer
    x = 323.60

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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.