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Finding the Fourth Proportional to 810.22, 1,215.12 and 262.46

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Solution

The fourth proportional to 810.22, 1,215.12 and 262.46 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,215.12 = 262.46 : x
  2. Step 2: Convert to fraction form
    810.22/1,215.12 = 262.46/x
  3. Step 3: Cross multiply
    810.22x = 1,215.12 × 262.46
  4. Step 4: Simplify right side
    810.22x = 318,920.40
  5. Step 5: Solve for x
    x = 318,920.40/810.22
  6. Step 6: Final answer
    x = 393.62

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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.