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Finding the Fourth Proportional to 664.11, 916.07 and 440.03

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Solution

The fourth proportional to 664.11, 916.07 and 440.03 is: 606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.11 : 916.07 = 440.03 : x
  2. Step 2: Convert to fraction form
    664.11/916.07 = 440.03/x
  3. Step 3: Cross multiply
    664.11x = 916.07 × 440.03
  4. Step 4: Simplify right side
    664.11x = 403,098.37
  5. Step 5: Solve for x
    x = 403,098.37/664.11
  6. Step 6: Final answer
    x = 606.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.