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Finding the Fourth Proportional to 511.10, 765.39 and 420.02

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Solution

The fourth proportional to 511.10, 765.39 and 420.02 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 765.39 = 420.02 : x
  2. Step 2: Convert to fraction form
    511.10/765.39 = 420.02/x
  3. Step 3: Cross multiply
    511.10x = 765.39 × 420.02
  4. Step 4: Simplify right side
    511.10x = 321,479.11
  5. Step 5: Solve for x
    x = 321,479.11/511.10
  6. Step 6: Final answer
    x = 628.99

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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.