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Finding the Fourth Proportional to 466.86, 644.53 and 292.44

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Solution

The fourth proportional to 466.86, 644.53 and 292.44 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.86 : 644.53 = 292.44 : x
  2. Step 2: Convert to fraction form
    466.86/644.53 = 292.44/x
  3. Step 3: Cross multiply
    466.86x = 644.53 × 292.44
  4. Step 4: Simplify right side
    466.86x = 188,486.35
  5. Step 5: Solve for x
    x = 188,486.35/466.86
  6. Step 6: Final answer
    x = 403.73

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Why These Related Problems?

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