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Finding the Fourth Proportional to 511.44, 766.52 and 473.20

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Solution

The fourth proportional to 511.44, 766.52 and 473.20 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.44 : 766.52 = 473.20 : x
  2. Step 2: Convert to fraction form
    511.44/766.52 = 473.20/x
  3. Step 3: Cross multiply
    511.44x = 766.52 × 473.20
  4. Step 4: Simplify right side
    511.44x = 362,717.26
  5. Step 5: Solve for x
    x = 362,717.26/511.44
  6. Step 6: Final answer
    x = 709.21

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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.