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Finding the Fourth Proportional to 463.41, 694.55 and 231.77

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Solution

The fourth proportional to 463.41, 694.55 and 231.77 is: 347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.41 : 694.55 = 231.77 : x
  2. Step 2: Convert to fraction form
    463.41/694.55 = 231.77/x
  3. Step 3: Cross multiply
    463.41x = 694.55 × 231.77
  4. Step 4: Simplify right side
    463.41x = 160,971.22
  5. Step 5: Solve for x
    x = 160,971.22/463.41
  6. Step 6: Final answer
    x = 347.36

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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.