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Finding the Fourth Proportional to 529.50, 792.96 and 254.91

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Solution

The fourth proportional to 529.50, 792.96 and 254.91 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 792.96 = 254.91 : x
  2. Step 2: Convert to fraction form
    529.50/792.96 = 254.91/x
  3. Step 3: Cross multiply
    529.50x = 792.96 × 254.91
  4. Step 4: Simplify right side
    529.50x = 202,135.45
  5. Step 5: Solve for x
    x = 202,135.45/529.50
  6. Step 6: Final answer
    x = 381.75

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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.