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Finding the Fourth Proportional to 592.55, 817.72 and 327.00

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Solution

The fourth proportional to 592.55, 817.72 and 327.00 is: 451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.55 : 817.72 = 327.00 : x
  2. Step 2: Convert to fraction form
    592.55/817.72 = 327.00/x
  3. Step 3: Cross multiply
    592.55x = 817.72 × 327.00
  4. Step 4: Simplify right side
    592.55x = 267,391.88
  5. Step 5: Solve for x
    x = 267,391.88/592.55
  6. Step 6: Final answer
    x = 451.25

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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.