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Finding the Fourth Proportional to 389.76, 537.48 and 234.60

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Solution

The fourth proportional to 389.76, 537.48 and 234.60 is: 323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 537.48 = 234.60 : x
  2. Step 2: Convert to fraction form
    389.76/537.48 = 234.60/x
  3. Step 3: Cross multiply
    389.76x = 537.48 × 234.60
  4. Step 4: Simplify right side
    389.76x = 126,092.81
  5. Step 5: Solve for x
    x = 126,092.81/389.76
  6. Step 6: Final answer
    x = 323.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.