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Finding the Fourth Proportional to 792.36, 1,188.84 and 305.44

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Solution

The fourth proportional to 792.36, 1,188.84 and 305.44 is: 458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.36 : 1,188.84 = 305.44 : x
  2. Step 2: Convert to fraction form
    792.36/1,188.84 = 305.44/x
  3. Step 3: Cross multiply
    792.36x = 1,188.84 × 305.44
  4. Step 4: Simplify right side
    792.36x = 363,119.29
  5. Step 5: Solve for x
    x = 363,119.29/792.36
  6. Step 6: Final answer
    x = 458.28

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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.