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Finding the Fourth Proportional to 262.40, 391.36 and 233.60

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Solution

The fourth proportional to 262.40, 391.36 and 233.60 is: 348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 391.36 = 233.60 : x
  2. Step 2: Convert to fraction form
    262.40/391.36 = 233.60/x
  3. Step 3: Cross multiply
    262.40x = 391.36 × 233.60
  4. Step 4: Simplify right side
    262.40x = 91,421.70
  5. Step 5: Solve for x
    x = 91,421.70/262.40
  6. Step 6: Final answer
    x = 348.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.