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Finding the Fourth Proportional to 506.68, 758.81 and 259.28

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Solution

The fourth proportional to 506.68, 758.81 and 259.28 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 758.81 = 259.28 : x
  2. Step 2: Convert to fraction form
    506.68/758.81 = 259.28/x
  3. Step 3: Cross multiply
    506.68x = 758.81 × 259.28
  4. Step 4: Simplify right side
    506.68x = 196,744.26
  5. Step 5: Solve for x
    x = 196,744.26/506.68
  6. Step 6: Final answer
    x = 388.30

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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.