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Finding the Fourth Proportional to 515.79, 772.47 and 406.85

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Solution

The fourth proportional to 515.79, 772.47 and 406.85 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.79 : 772.47 = 406.85 : x
  2. Step 2: Convert to fraction form
    515.79/772.47 = 406.85/x
  3. Step 3: Cross multiply
    515.79x = 772.47 × 406.85
  4. Step 4: Simplify right side
    515.79x = 314,275.56
  5. Step 5: Solve for x
    x = 314,275.56/515.79
  6. Step 6: Final answer
    x = 609.31

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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.