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Finding the Fourth Proportional to 621.82, 932.09 and 210.82

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Solution

The fourth proportional to 621.82, 932.09 and 210.82 is: 316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.82 : 932.09 = 210.82 : x
  2. Step 2: Convert to fraction form
    621.82/932.09 = 210.82/x
  3. Step 3: Cross multiply
    621.82x = 932.09 × 210.82
  4. Step 4: Simplify right side
    621.82x = 196,503.21
  5. Step 5: Solve for x
    x = 196,503.21/621.82
  6. Step 6: Final answer
    x = 316.01

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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.