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Finding the Fourth Proportional to 592.76, 817.98 and 327.20

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Solution

The fourth proportional to 592.76, 817.98 and 327.20 is: 451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 817.98 = 327.20 : x
  2. Step 2: Convert to fraction form
    592.76/817.98 = 327.20/x
  3. Step 3: Cross multiply
    592.76x = 817.98 × 327.20
  4. Step 4: Simplify right side
    592.76x = 267,643.06
  5. Step 5: Solve for x
    x = 267,643.06/592.76
  6. Step 6: Final answer
    x = 451.52

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