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Finding the Fourth Proportional to 355.97, 533.95 and 234.77

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Solution

The fourth proportional to 355.97, 533.95 and 234.77 is: 352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 533.95 = 234.77 : x
  2. Step 2: Convert to fraction form
    355.97/533.95 = 234.77/x
  3. Step 3: Cross multiply
    355.97x = 533.95 × 234.77
  4. Step 4: Simplify right side
    355.97x = 125,351.60
  5. Step 5: Solve for x
    x = 125,351.60/355.97
  6. Step 6: Final answer
    x = 352.15

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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.