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Finding the Fourth Proportional to 663.57, 916.03 and 486.54

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Solution

The fourth proportional to 663.57, 916.03 and 486.54 is: 671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 916.03 = 486.54 : x
  2. Step 2: Convert to fraction form
    663.57/916.03 = 486.54/x
  3. Step 3: Cross multiply
    663.57x = 916.03 × 486.54
  4. Step 4: Simplify right side
    663.57x = 445,679.44
  5. Step 5: Solve for x
    x = 445,679.44/663.57
  6. Step 6: Final answer
    x = 671.64

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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.