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Finding the Fourth Proportional to 462.95, 694.21 and 246.47

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Solution

The fourth proportional to 462.95, 694.21 and 246.47 is: 369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.95 : 694.21 = 246.47 : x
  2. Step 2: Convert to fraction form
    462.95/694.21 = 246.47/x
  3. Step 3: Cross multiply
    462.95x = 694.21 × 246.47
  4. Step 4: Simplify right side
    462.95x = 171,101.94
  5. Step 5: Solve for x
    x = 171,101.94/462.95
  6. Step 6: Final answer
    x = 369.59

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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.