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Finding the Fourth Proportional to 664.08, 996.42 and 417.24

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Solution

The fourth proportional to 664.08, 996.42 and 417.24 is: 626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.08 : 996.42 = 417.24 : x
  2. Step 2: Convert to fraction form
    664.08/996.42 = 417.24/x
  3. Step 3: Cross multiply
    664.08x = 996.42 × 417.24
  4. Step 4: Simplify right side
    664.08x = 415,746.28
  5. Step 5: Solve for x
    x = 415,746.28/664.08
  6. Step 6: Final answer
    x = 626.05

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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.