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Finding the Fourth Proportional to 664.33, 916.09 and 498.28

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Solution

The fourth proportional to 664.33, 916.09 and 498.28 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.33 : 916.09 = 498.28 : x
  2. Step 2: Convert to fraction form
    664.33/916.09 = 498.28/x
  3. Step 3: Cross multiply
    664.33x = 916.09 × 498.28
  4. Step 4: Simplify right side
    664.33x = 456,469.33
  5. Step 5: Solve for x
    x = 456,469.33/664.33
  6. Step 6: Final answer
    x = 687.11

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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.