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Finding the Fourth Proportional to 559.09, 837.98 and 212.20

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Solution

The fourth proportional to 559.09, 837.98 and 212.20 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 837.98 = 212.20 : x
  2. Step 2: Convert to fraction form
    559.09/837.98 = 212.20/x
  3. Step 3: Cross multiply
    559.09x = 837.98 × 212.20
  4. Step 4: Simplify right side
    559.09x = 177,814.11
  5. Step 5: Solve for x
    x = 177,814.11/559.09
  6. Step 6: Final answer
    x = 318.04

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