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Finding the Fourth Proportional to 792.23, 1,188.52 and 305.42

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Solution

The fourth proportional to 792.23, 1,188.52 and 305.42 is: 458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.23 : 1,188.52 = 305.42 : x
  2. Step 2: Convert to fraction form
    792.23/1,188.52 = 305.42/x
  3. Step 3: Cross multiply
    792.23x = 1,188.52 × 305.42
  4. Step 4: Simplify right side
    792.23x = 362,997.78
  5. Step 5: Solve for x
    x = 362,997.78/792.23
  6. Step 6: Final answer
    x = 458.20

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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.