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Finding the Fourth Proportional to 262.98, 393.85 and 230.58

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Solution

The fourth proportional to 262.98, 393.85 and 230.58 is: 345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 393.85 = 230.58 : x
  2. Step 2: Convert to fraction form
    262.98/393.85 = 230.58/x
  3. Step 3: Cross multiply
    262.98x = 393.85 × 230.58
  4. Step 4: Simplify right side
    262.98x = 90,813.93
  5. Step 5: Solve for x
    x = 90,813.93/262.98
  6. Step 6: Final answer
    x = 345.33

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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.