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Finding the Fourth Proportional to 664.40, 916.31 and 467.57

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Solution

The fourth proportional to 664.40, 916.31 and 467.57 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.31 = 467.57 : x
  2. Step 2: Convert to fraction form
    664.40/916.31 = 467.57/x
  3. Step 3: Cross multiply
    664.40x = 916.31 × 467.57
  4. Step 4: Simplify right side
    664.40x = 428,442.53
  5. Step 5: Solve for x
    x = 428,442.53/664.40
  6. Step 6: Final answer
    x = 644.85

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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.