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Finding the Fourth Proportional to 649.83, 974.72 and 211.11

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Solution

The fourth proportional to 649.83, 974.72 and 211.11 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.83 : 974.72 = 211.11 : x
  2. Step 2: Convert to fraction form
    649.83/974.72 = 211.11/x
  3. Step 3: Cross multiply
    649.83x = 974.72 × 211.11
  4. Step 4: Simplify right side
    649.83x = 205,772.08
  5. Step 5: Solve for x
    x = 205,772.08/649.83
  6. Step 6: Final answer
    x = 316.66

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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.