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Finding the Fourth Proportional to 467.95, 644.05 and 343.41

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Solution

The fourth proportional to 467.95, 644.05 and 343.41 is: 472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.95 : 644.05 = 343.41 : x
  2. Step 2: Convert to fraction form
    467.95/644.05 = 343.41/x
  3. Step 3: Cross multiply
    467.95x = 644.05 × 343.41
  4. Step 4: Simplify right side
    467.95x = 221,173.21
  5. Step 5: Solve for x
    x = 221,173.21/467.95
  6. Step 6: Final answer
    x = 472.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.