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Finding the Fourth Proportional to 592.49, 817.63 and 326.96

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Solution

The fourth proportional to 592.49, 817.63 and 326.96 is: 451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 817.63 = 326.96 : x
  2. Step 2: Convert to fraction form
    592.49/817.63 = 326.96/x
  3. Step 3: Cross multiply
    592.49x = 817.63 × 326.96
  4. Step 4: Simplify right side
    592.49x = 267,327.60
  5. Step 5: Solve for x
    x = 267,327.60/592.49
  6. Step 6: Final answer
    x = 451.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.