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Finding the Fourth Proportional to 511.18, 768.46 and 420.54

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Solution

The fourth proportional to 511.18, 768.46 and 420.54 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 768.46 = 420.54 : x
  2. Step 2: Convert to fraction form
    511.18/768.46 = 420.54/x
  3. Step 3: Cross multiply
    511.18x = 768.46 × 420.54
  4. Step 4: Simplify right side
    511.18x = 323,168.17
  5. Step 5: Solve for x
    x = 323,168.17/511.18
  6. Step 6: Final answer
    x = 632.20

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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.