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Finding the Fourth Proportional to 485.08, 727.74 and 211.22

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Solution

The fourth proportional to 485.08, 727.74 and 211.22 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.08 : 727.74 = 211.22 : x
  2. Step 2: Convert to fraction form
    485.08/727.74 = 211.22/x
  3. Step 3: Cross multiply
    485.08x = 727.74 × 211.22
  4. Step 4: Simplify right side
    485.08x = 153,713.24
  5. Step 5: Solve for x
    x = 153,713.24/485.08
  6. Step 6: Final answer
    x = 316.89

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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.