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Finding the Fourth Proportional to 511.05, 766.58 and 381.45

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Solution

The fourth proportional to 511.05, 766.58 and 381.45 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.05 : 766.58 = 381.45 : x
  2. Step 2: Convert to fraction form
    511.05/766.58 = 381.45/x
  3. Step 3: Cross multiply
    511.05x = 766.58 × 381.45
  4. Step 4: Simplify right side
    511.05x = 292,410.03
  5. Step 5: Solve for x
    x = 292,410.03/511.05
  6. Step 6: Final answer
    x = 572.18

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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.