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Finding the Fourth Proportional to 596.12, 893.50 and 230.72

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Solution

The fourth proportional to 596.12, 893.50 and 230.72 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 893.50 = 230.72 : x
  2. Step 2: Convert to fraction form
    596.12/893.50 = 230.72/x
  3. Step 3: Cross multiply
    596.12x = 893.50 × 230.72
  4. Step 4: Simplify right side
    596.12x = 206,148.32
  5. Step 5: Solve for x
    x = 206,148.32/596.12
  6. Step 6: Final answer
    x = 345.82

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Why These Related Problems?

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