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Finding the Fourth Proportional to 511.44, 766.14 and 402.90

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Solution

The fourth proportional to 511.44, 766.14 and 402.90 is: 603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.44 : 766.14 = 402.90 : x
  2. Step 2: Convert to fraction form
    511.44/766.14 = 402.90/x
  3. Step 3: Cross multiply
    511.44x = 766.14 × 402.90
  4. Step 4: Simplify right side
    511.44x = 308,677.81
  5. Step 5: Solve for x
    x = 308,677.81/511.44
  6. Step 6: Final answer
    x = 603.55

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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.