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Finding the Fourth Proportional to 529, 792.64 and 323.71

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Solution

The fourth proportional to 529, 792.64 and 323.71 is: 485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529 : 792.64 = 323.71 : x
  2. Step 2: Convert to fraction form
    529/792.64 = 323.71/x
  3. Step 3: Cross multiply
    529x = 792.64 × 323.71
  4. Step 4: Simplify right side
    529x = 256,585.49
  5. Step 5: Solve for x
    x = 256,585.49/529
  6. Step 6: Final answer
    x = 485.04

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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.