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Finding the Fourth Proportional to 466.90, 644.34 and 292.18

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Solution

The fourth proportional to 466.90, 644.34 and 292.18 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 644.34 = 292.18 : x
  2. Step 2: Convert to fraction form
    466.90/644.34 = 292.18/x
  3. Step 3: Cross multiply
    466.90x = 644.34 × 292.18
  4. Step 4: Simplify right side
    466.90x = 188,263.26
  5. Step 5: Solve for x
    x = 188,263.26/466.90
  6. Step 6: Final answer
    x = 403.22

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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.