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Finding the Fourth Proportional to 596.56, 895.06 and 211.81

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Solution

The fourth proportional to 596.56, 895.06 and 211.81 is: 317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.56 : 895.06 = 211.81 : x
  2. Step 2: Convert to fraction form
    596.56/895.06 = 211.81/x
  3. Step 3: Cross multiply
    596.56x = 895.06 × 211.81
  4. Step 4: Simplify right side
    596.56x = 189,582.66
  5. Step 5: Solve for x
    x = 189,582.66/596.56
  6. Step 6: Final answer
    x = 317.79

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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.