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Finding the Fourth Proportional to 322.70, 445.52 and 210.86

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Solution

The fourth proportional to 322.70, 445.52 and 210.86 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.70 : 445.52 = 210.86 : x
  2. Step 2: Convert to fraction form
    322.70/445.52 = 210.86/x
  3. Step 3: Cross multiply
    322.70x = 445.52 × 210.86
  4. Step 4: Simplify right side
    322.70x = 93,942.35
  5. Step 5: Solve for x
    x = 93,942.35/322.70
  6. Step 6: Final answer
    x = 291.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.