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Finding the Fourth Proportional to 664.64, 916.68 and 431.36

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Solution

The fourth proportional to 664.64, 916.68 and 431.36 is: 594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 916.68 = 431.36 : x
  2. Step 2: Convert to fraction form
    664.64/916.68 = 431.36/x
  3. Step 3: Cross multiply
    664.64x = 916.68 × 431.36
  4. Step 4: Simplify right side
    664.64x = 395,419.08
  5. Step 5: Solve for x
    x = 395,419.08/664.64
  6. Step 6: Final answer
    x = 594.94

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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.