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Finding the Fourth Proportional to 813.23, 1,220.05 and 236.11

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Solution

The fourth proportional to 813.23, 1,220.05 and 236.11 is: 354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.23 : 1,220.05 = 236.11 : x
  2. Step 2: Convert to fraction form
    813.23/1,220.05 = 236.11/x
  3. Step 3: Cross multiply
    813.23x = 1,220.05 × 236.11
  4. Step 4: Simplify right side
    813.23x = 288,058.72
  5. Step 5: Solve for x
    x = 288,058.72/813.23
  6. Step 6: Final answer
    x = 354.22

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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.