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Finding the Fourth Proportional to 275.55, 410.96 and 234.68

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Solution

The fourth proportional to 275.55, 410.96 and 234.68 is: 350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.55 : 410.96 = 234.68 : x
  2. Step 2: Convert to fraction form
    275.55/410.96 = 234.68/x
  3. Step 3: Cross multiply
    275.55x = 410.96 × 234.68
  4. Step 4: Simplify right side
    275.55x = 96,443.95
  5. Step 5: Solve for x
    x = 96,443.95/275.55
  6. Step 6: Final answer
    x = 350.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.