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Finding the Fourth Proportional to 708.21, 1,062.54 and 221.31

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Solution

The fourth proportional to 708.21, 1,062.54 and 221.31 is: 332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 1,062.54 = 221.31 : x
  2. Step 2: Convert to fraction form
    708.21/1,062.54 = 221.31/x
  3. Step 3: Cross multiply
    708.21x = 1,062.54 × 221.31
  4. Step 4: Simplify right side
    708.21x = 235,150.73
  5. Step 5: Solve for x
    x = 235,150.73/708.21
  6. Step 6: Final answer
    x = 332.04

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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.