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Finding the Fourth Proportional to 608.82, 912.16 and 506.76

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Solution

The fourth proportional to 608.82, 912.16 and 506.76 is: 759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 912.16 = 506.76 : x
  2. Step 2: Convert to fraction form
    608.82/912.16 = 506.76/x
  3. Step 3: Cross multiply
    608.82x = 912.16 × 506.76
  4. Step 4: Simplify right side
    608.82x = 462,243.41
  5. Step 5: Solve for x
    x = 462,243.41/608.82
  6. Step 6: Final answer
    x = 759.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.