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Finding the Fourth Proportional to 595.98, 893.79 and 230.68

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Solution

The fourth proportional to 595.98, 893.79 and 230.68 is: 345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 893.79 = 230.68 : x
  2. Step 2: Convert to fraction form
    595.98/893.79 = 230.68/x
  3. Step 3: Cross multiply
    595.98x = 893.79 × 230.68
  4. Step 4: Simplify right side
    595.98x = 206,180.05
  5. Step 5: Solve for x
    x = 206,180.05/595.98
  6. Step 6: Final answer
    x = 345.95

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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.