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Finding the Fourth Proportional to 463.52, 694.41 and 308.98

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Solution

The fourth proportional to 463.52, 694.41 and 308.98 is: 462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.52 : 694.41 = 308.98 : x
  2. Step 2: Convert to fraction form
    463.52/694.41 = 308.98/x
  3. Step 3: Cross multiply
    463.52x = 694.41 × 308.98
  4. Step 4: Simplify right side
    463.52x = 214,558.51
  5. Step 5: Solve for x
    x = 214,558.51/463.52
  6. Step 6: Final answer
    x = 462.89

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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.