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Finding the Fourth Proportional to 354.93, 533.15 and 218.05

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Solution

The fourth proportional to 354.93, 533.15 and 218.05 is: 327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.93 : 533.15 = 218.05 : x
  2. Step 2: Convert to fraction form
    354.93/533.15 = 218.05/x
  3. Step 3: Cross multiply
    354.93x = 533.15 × 218.05
  4. Step 4: Simplify right side
    354.93x = 116,253.36
  5. Step 5: Solve for x
    x = 116,253.36/354.93
  6. Step 6: Final answer
    x = 327.54

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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.