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Finding the Fourth Proportional to 515.10, 771.54 and 428.22

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Solution

The fourth proportional to 515.10, 771.54 and 428.22 is: 641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.10 : 771.54 = 428.22 : x
  2. Step 2: Convert to fraction form
    515.10/771.54 = 428.22/x
  3. Step 3: Cross multiply
    515.10x = 771.54 × 428.22
  4. Step 4: Simplify right side
    515.10x = 330,388.86
  5. Step 5: Solve for x
    x = 330,388.86/515.10
  6. Step 6: Final answer
    x = 641.41

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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.