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Finding the Fourth Proportional to 596.57, 895.05 and 231.32

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Solution

The fourth proportional to 596.57, 895.05 and 231.32 is: 347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 895.05 = 231.32 : x
  2. Step 2: Convert to fraction form
    596.57/895.05 = 231.32/x
  3. Step 3: Cross multiply
    596.57x = 895.05 × 231.32
  4. Step 4: Simplify right side
    596.57x = 207,045.20
  5. Step 5: Solve for x
    x = 207,045.20/596.57
  6. Step 6: Final answer
    x = 347.06

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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.