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Finding the Fourth Proportional to 466.52, 699.09 and 415.26

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Solution

The fourth proportional to 466.52, 699.09 and 415.26 is: 622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 699.09 = 415.26 : x
  2. Step 2: Convert to fraction form
    466.52/699.09 = 415.26/x
  3. Step 3: Cross multiply
    466.52x = 699.09 × 415.26
  4. Step 4: Simplify right side
    466.52x = 290,298.54
  5. Step 5: Solve for x
    x = 290,298.54/466.52
  6. Step 6: Final answer
    x = 622.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.