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Finding the Fourth Proportional to 663.81, 916.17 and 506.19

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Solution

The fourth proportional to 663.81, 916.17 and 506.19 is: 698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.81 : 916.17 = 506.19 : x
  2. Step 2: Convert to fraction form
    663.81/916.17 = 506.19/x
  3. Step 3: Cross multiply
    663.81x = 916.17 × 506.19
  4. Step 4: Simplify right side
    663.81x = 463,756.09
  5. Step 5: Solve for x
    x = 463,756.09/663.81
  6. Step 6: Final answer
    x = 698.63

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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.