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Finding the Fourth Proportional to 601.30, 902.05 and 211.28

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Solution

The fourth proportional to 601.30, 902.05 and 211.28 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 902.05 = 211.28 : x
  2. Step 2: Convert to fraction form
    601.30/902.05 = 211.28/x
  3. Step 3: Cross multiply
    601.30x = 902.05 × 211.28
  4. Step 4: Simplify right side
    601.30x = 190,586.85
  5. Step 5: Solve for x
    x = 190,586.85/601.30
  6. Step 6: Final answer
    x = 316.96

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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.