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Finding the Fourth Proportional to 466.26, 644.64 and 445.86

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Solution

The fourth proportional to 466.26, 644.64 and 445.86 is: 616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.26 : 644.64 = 445.86 : x
  2. Step 2: Convert to fraction form
    466.26/644.64 = 445.86/x
  3. Step 3: Cross multiply
    466.26x = 644.64 × 445.86
  4. Step 4: Simplify right side
    466.26x = 287,419.19
  5. Step 5: Solve for x
    x = 287,419.19/466.26
  6. Step 6: Final answer
    x = 616.44

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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.