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Finding the Fourth Proportional to 537.43, 805.62 and 341.82

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Solution

The fourth proportional to 537.43, 805.62 and 341.82 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.43 : 805.62 = 341.82 : x
  2. Step 2: Convert to fraction form
    537.43/805.62 = 341.82/x
  3. Step 3: Cross multiply
    537.43x = 805.62 × 341.82
  4. Step 4: Simplify right side
    537.43x = 275,377.03
  5. Step 5: Solve for x
    x = 275,377.03/537.43
  6. Step 6: Final answer
    x = 512.40

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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.