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Finding the Fourth Proportional to 355.89, 533.97 and 234.66

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Solution

The fourth proportional to 355.89, 533.97 and 234.66 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.89 : 533.97 = 234.66 : x
  2. Step 2: Convert to fraction form
    355.89/533.97 = 234.66/x
  3. Step 3: Cross multiply
    355.89x = 533.97 × 234.66
  4. Step 4: Simplify right side
    355.89x = 125,301.40
  5. Step 5: Solve for x
    x = 125,301.40/355.89
  6. Step 6: Final answer
    x = 352.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.