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Finding the Fourth Proportional to 506.51, 757.68 and 462.86

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Solution

The fourth proportional to 506.51, 757.68 and 462.86 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 757.68 = 462.86 : x
  2. Step 2: Convert to fraction form
    506.51/757.68 = 462.86/x
  3. Step 3: Cross multiply
    506.51x = 757.68 × 462.86
  4. Step 4: Simplify right side
    506.51x = 350,696.39
  5. Step 5: Solve for x
    x = 350,696.39/506.51
  6. Step 6: Final answer
    x = 692.37

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