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Finding the Fourth Proportional to 511.91, 766.73 and 292.02

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Solution

The fourth proportional to 511.91, 766.73 and 292.02 is: 437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.91 : 766.73 = 292.02 : x
  2. Step 2: Convert to fraction form
    511.91/766.73 = 292.02/x
  3. Step 3: Cross multiply
    511.91x = 766.73 × 292.02
  4. Step 4: Simplify right side
    511.91x = 223,899.03
  5. Step 5: Solve for x
    x = 223,899.03/511.91
  6. Step 6: Final answer
    x = 437.38

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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.