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Finding the Fourth Proportional to 392.53, 585.98 and 323.28

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Solution

The fourth proportional to 392.53, 585.98 and 323.28 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.53 : 585.98 = 323.28 : x
  2. Step 2: Convert to fraction form
    392.53/585.98 = 323.28/x
  3. Step 3: Cross multiply
    392.53x = 585.98 × 323.28
  4. Step 4: Simplify right side
    392.53x = 189,435.61
  5. Step 5: Solve for x
    x = 189,435.61/392.53
  6. Step 6: Final answer
    x = 482.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.