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Finding the Fourth Proportional to 537.96, 807.27 and 291.05

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Solution

The fourth proportional to 537.96, 807.27 and 291.05 is: 436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.96 : 807.27 = 291.05 : x
  2. Step 2: Convert to fraction form
    537.96/807.27 = 291.05/x
  3. Step 3: Cross multiply
    537.96x = 807.27 × 291.05
  4. Step 4: Simplify right side
    537.96x = 234,959.47
  5. Step 5: Solve for x
    x = 234,959.47/537.96
  6. Step 6: Final answer
    x = 436.76

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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.