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Finding the Fourth Proportional to 529.74, 792.86 and 323.29

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Solution

The fourth proportional to 529.74, 792.86 and 323.29 is: 483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.74 : 792.86 = 323.29 : x
  2. Step 2: Convert to fraction form
    529.74/792.86 = 323.29/x
  3. Step 3: Cross multiply
    529.74x = 792.86 × 323.29
  4. Step 4: Simplify right side
    529.74x = 256,323.08
  5. Step 5: Solve for x
    x = 256,323.08/529.74
  6. Step 6: Final answer
    x = 483.87

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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.