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Finding the Fourth Proportional to 511.26, 765.14 and 425.84

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Solution

The fourth proportional to 511.26, 765.14 and 425.84 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 765.14 = 425.84 : x
  2. Step 2: Convert to fraction form
    511.26/765.14 = 425.84/x
  3. Step 3: Cross multiply
    511.26x = 765.14 × 425.84
  4. Step 4: Simplify right side
    511.26x = 325,827.22
  5. Step 5: Solve for x
    x = 325,827.22/511.26
  6. Step 6: Final answer
    x = 637.30

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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.