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Finding the Fourth Proportional to 664.50, 916.57 and 443.83

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Solution

The fourth proportional to 664.50, 916.57 and 443.83 is: 612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.50 : 916.57 = 443.83 : x
  2. Step 2: Convert to fraction form
    664.50/916.57 = 443.83/x
  3. Step 3: Cross multiply
    664.50x = 916.57 × 443.83
  4. Step 4: Simplify right side
    664.50x = 406,798.75
  5. Step 5: Solve for x
    x = 406,798.75/664.50
  6. Step 6: Final answer
    x = 612.18

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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.