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Finding the Fourth Proportional to 536.85, 805.41 and 212.31

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Solution

The fourth proportional to 536.85, 805.41 and 212.31 is: 318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 805.41 = 212.31 : x
  2. Step 2: Convert to fraction form
    536.85/805.41 = 212.31/x
  3. Step 3: Cross multiply
    536.85x = 805.41 × 212.31
  4. Step 4: Simplify right side
    536.85x = 170,996.60
  5. Step 5: Solve for x
    x = 170,996.60/536.85
  6. Step 6: Final answer
    x = 318.52

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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.