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Finding the Fourth Proportional to 663.53, 916.11 and 593.36

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Solution

The fourth proportional to 663.53, 916.11 and 593.36 is: 819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.53 : 916.11 = 593.36 : x
  2. Step 2: Convert to fraction form
    663.53/916.11 = 593.36/x
  3. Step 3: Cross multiply
    663.53x = 916.11 × 593.36
  4. Step 4: Simplify right side
    663.53x = 543,583.03
  5. Step 5: Solve for x
    x = 543,583.03/663.53
  6. Step 6: Final answer
    x = 819.24

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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.