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Finding the Fourth Proportional to 792.41, 1,188.35 and 305.42

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Solution

The fourth proportional to 792.41, 1,188.35 and 305.42 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.41 : 1,188.35 = 305.42 : x
  2. Step 2: Convert to fraction form
    792.41/1,188.35 = 305.42/x
  3. Step 3: Cross multiply
    792.41x = 1,188.35 × 305.42
  4. Step 4: Simplify right side
    792.41x = 362,944.33
  5. Step 5: Solve for x
    x = 362,944.33/792.41
  6. Step 6: Final answer
    x = 458.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.