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Finding the Fourth Proportional to 515.20, 774.60 and 504.40

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Solution

The fourth proportional to 515.20, 774.60 and 504.40 is: 758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 774.60 = 504.40 : x
  2. Step 2: Convert to fraction form
    515.20/774.60 = 504.40/x
  3. Step 3: Cross multiply
    515.20x = 774.60 × 504.40
  4. Step 4: Simplify right side
    515.20x = 390,708.24
  5. Step 5: Solve for x
    x = 390,708.24/515.20
  6. Step 6: Final answer
    x = 758.36

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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.