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Finding the Fourth Proportional to 537.56, 800.91 and 511.44

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Solution

The fourth proportional to 537.56, 800.91 and 511.44 is: 761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 800.91 = 511.44 : x
  2. Step 2: Convert to fraction form
    537.56/800.91 = 511.44/x
  3. Step 3: Cross multiply
    537.56x = 800.91 × 511.44
  4. Step 4: Simplify right side
    537.56x = 409,618.10
  5. Step 5: Solve for x
    x = 409,618.10/537.56
  6. Step 6: Final answer
    x = 761.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.