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Finding the Fourth Proportional to 466.94, 644.51 and 292.43

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Solution

The fourth proportional to 466.94, 644.51 and 292.43 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.94 : 644.51 = 292.43 : x
  2. Step 2: Convert to fraction form
    466.94/644.51 = 292.43/x
  3. Step 3: Cross multiply
    466.94x = 644.51 × 292.43
  4. Step 4: Simplify right side
    466.94x = 188,471.57
  5. Step 5: Solve for x
    x = 188,471.57/466.94
  6. Step 6: Final answer
    x = 403.64

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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.