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Finding the Fourth Proportional to 485.69, 728.85 and 211.96

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Solution

The fourth proportional to 485.69, 728.85 and 211.96 is: 318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.69 : 728.85 = 211.96 : x
  2. Step 2: Convert to fraction form
    485.69/728.85 = 211.96/x
  3. Step 3: Cross multiply
    485.69x = 728.85 × 211.96
  4. Step 4: Simplify right side
    485.69x = 154,483.40
  5. Step 5: Solve for x
    x = 154,483.40/485.69
  6. Step 6: Final answer
    x = 318.07

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Why These Related Problems?

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