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Finding the Fourth Proportional to 596.88, 895.44 and 212.12

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Solution

The fourth proportional to 596.88, 895.44 and 212.12 is: 318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.88 : 895.44 = 212.12 : x
  2. Step 2: Convert to fraction form
    596.88/895.44 = 212.12/x
  3. Step 3: Cross multiply
    596.88x = 895.44 × 212.12
  4. Step 4: Simplify right side
    596.88x = 189,940.73
  5. Step 5: Solve for x
    x = 189,940.73/596.88
  6. Step 6: Final answer
    x = 318.22

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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.