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Finding the Fourth Proportional to 596.72, 895.61 and 289.02

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Solution

The fourth proportional to 596.72, 895.61 and 289.02 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.72 : 895.61 = 289.02 : x
  2. Step 2: Convert to fraction form
    596.72/895.61 = 289.02/x
  3. Step 3: Cross multiply
    596.72x = 895.61 × 289.02
  4. Step 4: Simplify right side
    596.72x = 258,846.62
  5. Step 5: Solve for x
    x = 258,846.62/596.72
  6. Step 6: Final answer
    x = 433.78

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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.