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Finding the Fourth Proportional to 810.64, 1,215.82 and 263.22

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Solution

The fourth proportional to 810.64, 1,215.82 and 263.22 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,215.82 = 263.22 : x
  2. Step 2: Convert to fraction form
    810.64/1,215.82 = 263.22/x
  3. Step 3: Cross multiply
    810.64x = 1,215.82 × 263.22
  4. Step 4: Simplify right side
    810.64x = 320,028.14
  5. Step 5: Solve for x
    x = 320,028.14/810.64
  6. Step 6: Final answer
    x = 394.78

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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.