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Finding the Fourth Proportional to 466.92, 642.90 and 400.44

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Solution

The fourth proportional to 466.92, 642.90 and 400.44 is: 551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.92 : 642.90 = 400.44 : x
  2. Step 2: Convert to fraction form
    466.92/642.90 = 400.44/x
  3. Step 3: Cross multiply
    466.92x = 642.90 × 400.44
  4. Step 4: Simplify right side
    466.92x = 257,442.88
  5. Step 5: Solve for x
    x = 257,442.88/466.92
  6. Step 6: Final answer
    x = 551.36

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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.