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Finding the Fourth Proportional to 822.64, 1,233.93 and 328.80

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Solution

The fourth proportional to 822.64, 1,233.93 and 328.80 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,233.93 = 328.80 : x
  2. Step 2: Convert to fraction form
    822.64/1,233.93 = 328.80/x
  3. Step 3: Cross multiply
    822.64x = 1,233.93 × 328.80
  4. Step 4: Simplify right side
    822.64x = 405,716.18
  5. Step 5: Solve for x
    x = 405,716.18/822.64
  6. Step 6: Final answer
    x = 493.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.