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Finding the Fourth Proportional to 536.71, 805.11 and 212.00

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Solution

The fourth proportional to 536.71, 805.11 and 212.00 is: 318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 805.11 = 212.00 : x
  2. Step 2: Convert to fraction form
    536.71/805.11 = 212.00/x
  3. Step 3: Cross multiply
    536.71x = 805.11 × 212.00
  4. Step 4: Simplify right side
    536.71x = 170,683.03
  5. Step 5: Solve for x
    x = 170,683.03/536.71
  6. Step 6: Final answer
    x = 318.02

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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.