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Finding the Fourth Proportional to 515.20, 710.64 and 399.04

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Solution

The fourth proportional to 515.20, 710.64 and 399.04 is: 550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 710.64 = 399.04 : x
  2. Step 2: Convert to fraction form
    515.20/710.64 = 399.04/x
  3. Step 3: Cross multiply
    515.20x = 710.64 × 399.04
  4. Step 4: Simplify right side
    515.20x = 283,573.79
  5. Step 5: Solve for x
    x = 283,573.79/515.20
  6. Step 6: Final answer
    x = 550.41

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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.